468389 (number)
468,389 (four hundred sixtyeight thousand three hundred eightynine) is an odd sixdigits prime number following 468388 and preceding 468390. In scientific notation, it is written as 4.68389 × 10^{5}. The sum of its digits is 38. It has a total of 1 prime factor and 2 positive divisors. There are 468,388 positive integers (up to 468389) that are relatively prime to 468389.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 38
 Digital Root 2
Name
Short name  468 thousand 389 

Full name  four hundred sixtyeight thousand three hundred eightynine 
Notation
Scientific notation  4.68389 × 10^{5} 

Engineering notation  468.389 × 10^{3} 
Prime Factorization of 468389
Prime Factorization 468389
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  468389  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  13.057054426228  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 468,389 is 468389. Since it has a total of 1 prime factor, 468,389 is a prime number.
Divisors of 468389
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  468390  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  234195  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  684.38950897862  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999995730054  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 468,389 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 468,389) is 468,390, the average is 234,195.
Other Arithmetic Functions (n = 468389)
φ(n)  Euler Totient  468388  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  468388  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 39020  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 468,388 positive integers (less than 468,389) that are coprime with 468,389. And there are approximately 39,020 prime numbers less than or equal to 468,389.
Divisibility of 468389
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  4  5  5  5  2 
468,389 is not divisible by any number less than or equal to 9.
Classification of 468389
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (468389)
Base  System  Value 

2  Binary  1110010010110100101 
3  Ternary  212210111202 
4  Quaternary  1302112211 
5  Quinary  104442024 
6  Senary  14012245 
8  Octal  1622645 
10  Decimal  468389 
12  Duodecimal  1a7085 
16  Hexadecimal  725a5 
20  Vigesimal  2iaj9 
36  Base36  a1et 
Basic calculations (n = 468389)
Multiplication
n×yn×2  936778 

n×3  1405167 
n×4  1873556 
n×5  2341945 
Division
n÷yn÷2  234194.500 

n÷3  156129.666 
n÷4  117097.250 
n÷5  93677.800 
Exponentiation
n^{y}n^{2}  219388255321 

n^{3}  102759045521547869 
n^{4}  48131206572792284813041 
n^{5}  22544127715423605491295460949 
Nth Root
^{y}√n^{2}√n  684.38950897862 

^{3}√n  77.660865999716 
^{4}√n  26.160839225427 
^{5}√n  13.618251093517 
468389 as geometric shapes
Circle
Radius = nDiameter  936778 

Circumference  2942974.8828445 
Area  689228531200.34 
Sphere
Radius = nVolume  4.3043608333386E+17 

Surface area  2756914124801.3 
Circumference  2942974.8828445 
Square
Length = nPerimeter  1873556 

Area  219388255321 
Diagonal  662402.07626637 
Cube
Length = nSurface area  1316329531926 

Volume  102759045521547869 
Space diagonal  811273.54570638 
Equilateral Triangle
Length = nPerimeter  1405167 

Area  94997901199.966 
Altitude  405636.77285319 
Triangular Pyramid
Length = nSurface area  379991604799.87 

Volume  1.2110269652757E+16 
Height  382438.01704416 
Cryptographic Hash Functions
md5  cd44bb906511a560b67edb02d102fb73 

sha1  da1d8fd1baf626d31e9e090dcac50b1a59bddd45 
sha256  dcf7bf474db5d8f14487e5c5ce3514b964846a55fa5f59de95f1e1cc87caa719 
sha512  fd4d6a4c8d568906d3f0608573a5f7a5dbe81573980ff5e011c5b63086822d80126c4e6ebc69bd59017685c1ef40360563557ffbe9e058471d6fc44ccc88a070 
ripemd160  6966b0da5aae766d2c297a78f648d86878d20956 