| Base | Representation |
|---|---|
| bin | 1101110011000… |
| … | …1000111110000 |
| 3 | 11000220020200000 |
| 4 | 3130301013300 |
| 5 | 104303413010 |
| 6 | 5424230000 |
| 7 | 1301624412 |
| oct | 334610760 |
| 9 | 130806600 |
| 10 | 57872880 |
| 11 | 2a73882a |
| 12 | 1746b300 |
| 13 | bcb3a10 |
| 14 | 79869b2 |
| 15 | 51327c0 |
| hex | 37311f0 |
57872880 has 240 divisors, whose sum is σ = 218006880. Its totient is φ = 14183424.
The previous prime is 57872851. The next prime is 57872911. The reversal of 57872880 is 8827875.
It is a happy number.
57872880 is a `hidden beast` number, since 578 + 72 + 8 + 8 + 0 = 666.
57872880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 47 ways as a sum of consecutive naturals, for example, 252606 + ... + 252834.
It is an arithmetic number, because the mean of its divisors is an integer number (908362).
Almost surely, 257872880 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 57872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109003440).
57872880 is an abundant number, since it is smaller than the sum of its proper divisors (160134000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57872880 is a wasteful number, since it uses less digits than its factorization.
57872880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270 (or 252 counting only the distinct ones).
The product of its (nonzero) digits is 250880, while the sum is 45.
The square root of 57872880 is about 7607.4226910301. The cubic root of 57872880 is about 386.8046607480.
The spelling of 57872880 in words is "fifty-seven million, eight hundred seventy-two thousand, eight hundred eighty".
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