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57344688 = 2432398227
BaseRepresentation
bin1101101011000…
…0001010110000
310222220102010100
43122300022300
5104140012223
65405032400
71264264452
oct332601260
9128812110
1057344688
112a407a05
1217255700
13bb5a48b
14788a2d2
15507b043
hex36b02b0

57344688 has 30 divisors (see below), whose sum is σ = 160485884. Its totient is φ = 19114848.

The previous prime is 57344659. The next prime is 57344701. The reversal of 57344688 is 88644375.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 198970 + ... + 199257.

Almost surely, 257344688 is an apocalyptic number.

It is an amenable number.

57344688 is an abundant number, since it is smaller than the sum of its proper divisors (103141196).

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

57344688 is a wasteful number, since it uses less digits than its factorization.

57344688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398241 (or 398232 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 57344688 is about 7572.6275492724. The cubic root of 57344688 is about 385.6243044660.

The spelling of 57344688 in words is "fifty-seven million, three hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 398227 796454 1194681 1592908 2389362 3185816 3584043 4778724 6371632 7168086 9557448 14336172 19114896 28672344 57344688