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57142368 = 253366137
BaseRepresentation
bin1101100111111…
…0110001100000
310222112010121000
43121332301200
5104112023433
65400432000
71262462553
oct331766140
9128463530
1057142368
112a2899a8
1217178600
13bab936a
14783669a
15503b113
hex367ec60

57142368 has 48 divisors (see below), whose sum is σ = 166667760. Its totient is φ = 19047168.

The previous prime is 57142339. The next prime is 57142403. The reversal of 57142368 is 86324175.

57142368 is a `hidden beast` number, since 571 + 4 + 23 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32205 + ... + 33932.

It is an arithmetic number, because the mean of its divisors is an integer number (3472245).

Almost surely, 257142368 is an apocalyptic number.

It is an amenable number.

57142368 is an abundant number, since it is smaller than the sum of its proper divisors (109525392).

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

57142368 is a wasteful number, since it uses less digits than its factorization.

57142368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66156 (or 66142 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 57142368 is about 7559.2571063564. The cubic root of 57142368 is about 385.1702580854.

The spelling of 57142368 in words is "fifty-seven million, one hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 66137 132274 198411 264548 396822 529096 595233 793644 1058192 1190466 1587288 1785699 2116384 2380932 3174576 3571398 4761864 6349152 7142796 9523728 14285592 19047456 28571184 57142368