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57693216 = 253785853
BaseRepresentation
bin1101110000010…
…1010000100000
311000120010012210
43130011100200
5104232140331
65420322120
71300245540
oct334052040
9130503183
1057693216
112a625849
12173a3340
13bc4ccc9
14793b320
1550e9446
hex3705420

57693216 has 48 divisors (see below), whose sum is σ = 173081664. Its totient is φ = 16483584.

The previous prime is 57693199. The next prime is 57693221. The reversal of 57693216 is 61239675.

It is a tau number, because it is divible by the number of its divisors (48).

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, 42255 + ... + 43598.

It is an arithmetic number, because the mean of its divisors is an integer number (3605868).

Almost surely, 257693216 is an apocalyptic number.

57693216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

57693216 is an abundant number, since it is smaller than the sum of its proper divisors (115388448).

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

57693216 is a wasteful number, since it uses less digits than its factorization.

57693216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85873 (or 85865 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 57693216 is about 7595.6050450244. The cubic root of 57693216 is about 386.4039727140.

The spelling of 57693216 in words is "fifty-seven million, six hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 85853 171706 257559 343412 515118 600971 686824 1030236 1201942 1373648 1802913 2060472 2403884 2747296 3605826 4120944 4807768 7211652 8241888 9615536 14423304 19231072 28846608 57693216