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57115808 = 2523711093
BaseRepresentation
bin1101100111100…
…0010010100000
310222110210011022
43121320102200
5104110201213
65400105012
71262322251
oct331702240
9128423138
1057115808
112a270a52
1217165168
13baaa249
14782ab28
155033308
hex36784a0

57115808 has 48 divisors (see below), whose sum is σ = 119097216. Its totient is φ = 26906880.

The previous prime is 57115789. The next prime is 57115811. The reversal of 57115808 is 80851175.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51710 + ... + 52802.

It is an arithmetic number, because the mean of its divisors is an integer number (2481192).

Almost surely, 257115808 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 57115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59548608).

57115808 is an abundant number, since it is smaller than the sum of its proper divisors (61981408).

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

57115808 is a wasteful number, since it uses less digits than its factorization.

57115808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 35.

The square root of 57115808 is about 7557.5001157790. The cubic root of 57115808 is about 385.1105726143.

The spelling of 57115808 in words is "fifty-seven million, one hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1093 1136 1633 2186 2272 3266 4372 6532 8744 13064 17488 25139 26128 34976 50278 52256 77603 100556 155206 201112 310412 402224 620824 804448 1241648 1784869 2483296 3569738 7139476 14278952 28557904 57115808