| Base | Representation |
|---|---|
| bin | 1101110100111… |
| … | …0010011010000 |
| 3 | 11001010022121200 |
| 4 | 3131032103100 |
| 5 | 104321224100 |
| 6 | 5430551200 |
| 7 | 1302633024 |
| oct | 335162320 |
| 9 | 131108550 |
| 10 | 57992400 |
| 11 | 2a80a604 |
| 12 | 17508500 |
| 13 | c02623b |
| 14 | 79b8384 |
| 15 | 5157e00 |
| hex | 374e4d0 |
57992400 has 180 divisors, whose sum is σ = 204635340. Its totient is φ = 15206400.
The previous prime is 57992387. The next prime is 57992419. The reversal of 57992400 is 429975.
57992400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 21123216 + 36869184 = 4596^2 + 6072^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320310 + ... + 320490.
It is an arithmetic number, because the mean of its divisors is an integer number (1136863).
Almost surely, 257992400 is an apocalyptic number.
57992400 is a gapful number since it is divisible by the number (50) 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 57992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102317670).
57992400 is an abundant number, since it is smaller than the sum of its proper divisors (146642940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57992400 is a wasteful number, since it uses less digits than its factorization.
57992400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The square root of 57992400 is about 7615.2741250726. The cubic root of 57992400 is about 387.0707560470.
The spelling of 57992400 in words is "fifty-seven million, nine hundred ninety-two thousand, four hundred".
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