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57893904 = 24323371193
BaseRepresentation
bin1101110011011…
…0010000010000
311000221022111200
43130312100100
5104310101104
65424511200
71302042615
oct334662020
9130838450
1057893904
112a752602
121747b500
13bcc0463
14799050c
155138b39
hex3736410

57893904 has 60 divisors (see below), whose sum is σ = 162639516. Its totient is φ = 19224576.

The previous prime is 57893887. The next prime is 57893929. The reversal of 57893904 is 40939875.

It can be written as a sum of positive squares in 2 ways, for example, as 22467600 + 35426304 = 4740^2 + 5952^2 .

It is a super-2 number, since 2×578939042 = 6703408240722432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57893904.

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 11 ways as a sum of consecutive naturals, for example, 47932 + ... + 49124.

Almost surely, 257893904 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 57893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81319758).

57893904 is an abundant number, since it is smaller than the sum of its proper divisors (104745612).

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

57893904 is a wasteful number, since it uses less digits than its factorization.

57893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 57893904 is about 7608.8043738816. The cubic root of 57893904 is about 386.8514944096.

The spelling of 57893904 in words is "fifty-seven million, eight hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1193 1348 2022 2386 2696 3033 3579 4044 4772 5392 6066 7158 8088 9544 10737 12132 14316 16176 19088 21474 24264 28632 42948 48528 57264 85896 171792 402041 804082 1206123 1608164 2412246 3216328 3618369 4824492 6432656 7236738 9648984 14473476 19297968 28946952 57893904