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57992928 = 2537211409
BaseRepresentation
bin1101110100111…
…0011011100000
311001010100100020
43131032123200
5104321233203
65430553440
71302634410
oct335163340
9131110306
1057992928
112a80aa44
1217508880
13c026556
1479b8640
155158153
hex374e6e0

57992928 has 96 divisors (see below), whose sum is σ = 175230720. Its totient is φ = 16450560.

The previous prime is 57992927. The next prime is 57992969. The reversal of 57992928 is 82929975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57992927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141588 + ... + 141996.

It is an arithmetic number, because the mean of its divisors is an integer number (1825320).

Almost surely, 257992928 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 57992928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87615360).

57992928 is an abundant number, since it is smaller than the sum of its proper divisors (117237792).

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

57992928 is a wasteful number, since it uses less digits than its factorization.

57992928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 57992928 is about 7615.3087921633. The cubic root of 57992928 is about 387.0719307569.

The spelling of 57992928 in words is "fifty-seven million, nine hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 409 422 633 672 818 844 1227 1266 1477 1636 1688 2454 2532 2863 2954 3272 3376 4431 4908 5064 5726 5908 6544 6752 8589 8862 9816 10128 11452 11816 13088 17178 17724 19632 20256 22904 23632 34356 35448 39264 45808 47264 68712 70896 86299 91616 137424 141792 172598 258897 274848 345196 517794 604093 690392 1035588 1208186 1380784 1812279 2071176 2416372 2761568 3624558 4142352 4832744 7249116 8284704 9665488 14498232 19330976 28996464 57992928