| Base | Representation |
|---|---|
| bin | 10111110010110… |
| … | …101000000000000 |
| 3 | 1000211011110210200 |
| 4 | 113302311000000 |
| 5 | 1304143402011 |
| 6 | 103340125200 |
| 7 | 12615101100 |
| oct | 2762650000 |
| 9 | 1024143720 |
| 10 | 399200256 |
| 11 | 19537a074 |
| 12 | b1836800 |
| 13 | 64921590 |
| 14 | 3b037200 |
| 15 | 250a6856 |
| hex | 17cb5000 |
399200256 has 468 divisors, whose sum is σ = 1529521812. Its totient is φ = 99090432.
The previous prime is 399200161. The next prime is 399200267. The reversal of 399200256 is 652002993.
It can be written as a sum of positive squares in 2 ways, for example, as 180633600 + 218566656 = 13440^2 + 14784^2 .
It is a tau number, because it is divible by the number of its divisors (468).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 399200256.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482360 + ... + 23482376.
It is an arithmetic number, because the mean of its divisors is an integer number (3268209).
Almost surely, 2399200256 is an apocalyptic number.
399200256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 399200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764760906).
399200256 is an abundant number, since it is smaller than the sum of its proper divisors (1130321556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
399200256 is a wasteful number, since it uses less digits than its factorization.
399200256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74 (or 42 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 399200256 is about 19979.9963963961. The cubic root of 399200256 is about 736.3149250897.
The spelling of 399200256 in words is "three hundred ninety-nine million, two hundred thousand, two hundred fifty-six".
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