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57112384 = 267177499
BaseRepresentation
bin1101100111011…
…1011101000000
310222110121110111
43121313131000
5104110044014
65400041104
71262306260
oct331673500
9128417414
1057112384
112a26941a
1217163194
13baa8814
1478297a0
1550322c4
hex3677740

57112384 has 56 divisors (see below), whose sum is σ = 137160000. Its totient is φ = 23033856.

The previous prime is 57112373. The next prime is 57112387. The reversal of 57112384 is 48321175.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57112387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3867 + ... + 11365.

Almost surely, 257112384 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 57112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68580000).

57112384 is an abundant number, since it is smaller than the sum of its proper divisors (80047616).

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

57112384 is a wasteful number, since it uses less digits than its factorization.

57112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7525 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 57112384 is about 7557.2735824502. The cubic root of 57112384 is about 385.1028768759.

The spelling of 57112384 in words is "fifty-seven million, one hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7499 7616 14998 29996 52493 59992 104986 119984 127483 209972 239968 254966 419944 479936 509932 839888 892381 1019864 1679776 1784762 2039728 3359552 3569524 4079456 7139048 8158912 14278096 28556192 57112384