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57872164 = 22731611093
BaseRepresentation
bin1101110011000…
…0111100100100
311000220012200111
43130300330210
5104303402124
65424222404
71301622340
oct334607444
9130805614
1057872164
112a738239
121746aa04
13bcb35ac
147986620
155132494
hex3730f24

57872164 has 48 divisors (see below), whose sum is σ = 121547776. Its totient is φ = 23587200.

The previous prime is 57872153. The next prime is 57872173. The reversal of 57872164 is 46127875.

57872164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 52402 + ... + 53494.

Almost surely, 257872164 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 57872164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60773888).

57872164 is an abundant number, since it is smaller than the sum of its proper divisors (63675612).

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

57872164 is a wasteful number, since it uses less digits than its factorization.

57872164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 57872164 is about 7607.3756315828. The cubic root of 57872164 is about 386.8030655663.

The spelling of 57872164 in words is "fifty-seven million, eight hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 61 62 122 124 217 244 427 434 854 868 1093 1708 1891 2186 3782 4372 7564 7651 13237 15302 26474 30604 33883 52948 66673 67766 133346 135532 237181 266692 466711 474362 933422 948724 1866844 2066863 4133726 8267452 14468041 28936082 57872164