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57405672 = 233488589
BaseRepresentation
bin1101101011111…
…1000011101000
311000000111210000
43122333003220
5104143440142
65410223000
71264640322
oct332770350
9130014700
1057405672
112a449805
1217284a60
13bb7c16c
1478a4612
15508e14c
hex36bf0e8

57405672 has 40 divisors (see below), whose sum is σ = 160790850. Its totient is φ = 19135008.

The previous prime is 57405653. The next prime is 57405683. The reversal of 57405672 is 27650475.

57405672 is a `hidden beast` number, since 57 + 40 + 567 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 16112196 = 6426^2 + 4014^2 .

It is a super-2 number, since 2×574056722 = 6590822355543168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 43647 + ... + 44942.

Almost surely, 257405672 is an apocalyptic number.

It is an amenable number.

57405672 is an abundant number, since it is smaller than the sum of its proper divisors (103385178).

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

57405672 is a wasteful number, since it uses less digits than its factorization.

57405672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88607 (or 88594 counting only the distinct ones).

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

The square root of 57405672 is about 7576.6530869507. The cubic root of 57405672 is about 385.7609551996.

The spelling of 57405672 in words is "fifty-seven million, four hundred five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 88589 177178 265767 354356 531534 708712 797301 1063068 1594602 2126136 2391903 3189204 4783806 6378408 7175709 9567612 14351418 19135224 28702836 57405672