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57257604 = 223558907
BaseRepresentation
bin1101101001101…
…0111010000100
310222201222200000
43122122322010
5104124220404
65403121300
71263452535
oct332327204
9128658600
1057257604
112a358538
1217213230
13bb29951
14786668c
155060339
hex369ae84

57257604 has 36 divisors (see below), whose sum is σ = 150097584. Its totient is φ = 19085544.

The previous prime is 57257579. The next prime is 57257617. The reversal of 57257604 is 40675275.

57257604 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 28482 + ... + 30425.

Almost surely, 257257604 is an apocalyptic number.

57257604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57257604 is an abundant number, since it is smaller than the sum of its proper divisors (92839980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57257604 is a wasteful number, since it uses less digits than its factorization.

57257604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58926 (or 58912 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57257604 is about 7566.8754449905. The cubic root of 57257604 is about 385.4290017473.

The spelling of 57257604 in words is "fifty-seven million, two hundred fifty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 58907 117814 176721 235628 353442 530163 706884 1060326 1590489 2120652 3180978 4771467 6361956 9542934 14314401 19085868 28628802 57257604