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57028384 = 257298779
BaseRepresentation
bin1101100110001…
…0111100100000
310222022100020101
43121202330200
5104044402014
65354152144
71261506340
oct331427440
9128270211
1057028384
112a2112a6
1217122654
13ba7950a
147806d20
155017474
hex3662f20

57028384 has 48 divisors (see below), whose sum is σ = 132753600. Its totient is φ = 23595264.

The previous prime is 57028379. The next prime is 57028393. The reversal of 57028384 is 48382075.

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, 2107 + ... + 10885.

It is an arithmetic number, because the mean of its divisors is an integer number (2765700).

Almost surely, 257028384 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 57028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66376800).

57028384 is an abundant number, since it is smaller than the sum of its proper divisors (75725216).

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

57028384 is a wasteful number, since it uses less digits than its factorization.

57028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 57028384 is about 7551.7139776345. The cubic root of 57028384 is about 384.9139831448.

The spelling of 57028384 in words is "fifty-seven million, twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 8779 17558 35116 61453 70232 122906 140464 245812 254591 280928 491624 509182 983248 1018364 1782137 1966496 2036728 3564274 4073456 7128548 8146912 14257096 28514192 57028384