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57107904 = 263742491
BaseRepresentation
bin1101100111011…
…0010111000000
310222110101022120
43121312113000
5104104423104
65400004240
71262260230
oct331662700
9128411276
1057107904
112a266017
1217160680
13baa6779
147827cc0
155030cd9
hex36765c0

57107904 has 56 divisors (see below), whose sum is σ = 172687488. Its totient is φ = 16316160.

The previous prime is 57107899. The next prime is 57107951. The reversal of 57107904 is 40970175.

57107904 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 (56).

It is a super-2 number, since 2×571079042 = 6522625398546432, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 19902 + ... + 22589.

Almost surely, 257107904 is an apocalyptic number.

It is an amenable number.

57107904 is an abundant number, since it is smaller than the sum of its proper divisors (115579584).

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

57107904 is a wasteful number, since it uses less digits than its factorization.

57107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42513 (or 42503 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 57107904 is about 7556.9771734471. The cubic root of 57107904 is about 385.0928072210.

The spelling of 57107904 in words is "fifty-seven million, one hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 42491 84982 127473 169964 254946 297437 339928 509892 594874 679856 892311 1019784 1189748 1359712 1784622 2039568 2379496 2719424 3569244 4079136 4758992 7138488 8158272 9517984 14276976 19035968 28553952 57107904