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57358688 = 252377933
BaseRepresentation
bin1101101011001…
…1100101100000
310222221010022212
43122303211200
5104140434223
65405221252
71264353332
oct332634540
9128833285
1057358688
112a417482
1217261828
13bb6396a
147891452
155080278
hex36b3960

57358688 has 24 divisors (see below), whose sum is σ = 117836208. Its totient is φ = 27432064.

The previous prime is 57358681. The next prime is 57358733. The reversal of 57358688 is 88685375.

57358688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×573586883 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57358681) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38231 + ... + 39702.

It is an arithmetic number, because the mean of its divisors is an integer number (4909842).

Almost surely, 257358688 is an apocalyptic number.

It is an amenable number.

57358688 is an abundant number, since it is smaller than the sum of its proper divisors (60477520).

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

57358688 is a wasteful number, since it uses less digits than its factorization.

57358688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77966 (or 77958 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The square root of 57358688 is about 7573.5518747811. The cubic root of 57358688 is about 385.6556837222.

The spelling of 57358688 in words is "fifty-seven million, three hundred fifty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 77933 155866 311732 623464 1246928 1792459 2493856 3584918 7169836 14339672 28679344 57358688