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57538120 = 2354093517
BaseRepresentation
bin1101101101111…
…1011001001000
311000021020110111
43123133121020
5104212204440
65413124104
71266031423
oct333373110
9130236414
1057538120
112a52a272
1217329634
13bbc7533
1478da9ba
1550b84ea
hex36df648

57538120 has 32 divisors (see below), whose sum is σ = 129814200. Its totient is φ = 22952448.

The previous prime is 57538087. The next prime is 57538121. The reversal of 57538120 is 2183575.

It can be written as a sum of positive squares in 4 ways, for example, as 57244356 + 293764 = 7566^2 + 542^2 .

It is not an unprimeable number, because it can be changed into a prime (57538121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14602 + ... + 18118.

Almost surely, 257538120 is an apocalyptic number.

It is an amenable number.

57538120 is an abundant number, since it is smaller than the sum of its proper divisors (72276080).

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

57538120 is a wasteful number, since it uses less digits than its factorization.

57538120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 57538120 is about 7585.3885859592. The cubic root of 57538120 is about 386.0574068735.

The spelling of 57538120 in words is "fifty-seven million, five hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 409 818 1636 2045 3272 3517 4090 7034 8180 14068 16360 17585 28136 35170 70340 140680 1438453 2876906 5753812 7192265 11507624 14384530 28769060 57538120