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57138704 = 2472312351
BaseRepresentation
bin1101100111110…
…1111000010000
310222111221120022
43121331320100
5104111414304
65400403012
71262446100
oct331757020
9128457508
1057138704
112a287177
1217176468
13bab77ac
147835200
155039ebe
hex367de10

57138704 has 60 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 23688000.

The previous prime is 57138703. The next prime is 57138721. The reversal of 57138704 is 40783175.

It is not an unprimeable number, because it can be changed into a prime (57138703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23129 + ... + 25479.

Almost surely, 257138704 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 57138704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

57138704 is an abundant number, since it is smaller than the sum of its proper divisors (75852784).

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

57138704 is a wasteful number, since it uses less digits than its factorization.

57138704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 57138704 is about 7559.0147506140. The cubic root of 57138704 is about 385.1620254667.

The spelling of 57138704 in words is "fifty-seven million, one hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 2351 3038 3472 4702 6076 9404 12152 16457 18808 24304 32914 37616 65828 72881 115199 131656 145762 230398 263312 291524 460796 510167 583048 921592 1020334 1166096 1843184 2040668 3571169 4081336 7142338 8162672 14284676 28569352 57138704