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57859872 = 2537292969
BaseRepresentation
bin1101110010110…
…1111100100000
311000212120211020
43130231330200
5104303003442
65424045440
71301541450
oct334557440
9130776736
1057859872
112a729a84
1217463880
13bcaab15
147981d60
15512d9ec
hex372df20

57859872 has 96 divisors (see below), whose sum is σ = 179625600. Its totient is φ = 15955968.

The previous prime is 57859871. The next prime is 57859909. The reversal of 57859872 is 27895875.

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

It is not an unprimeable number, because it can be changed into a prime (57859871) 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, 18004 + ... + 20972.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 257859872 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 57859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

57859872 is an abundant number, since it is smaller than the sum of its proper divisors (121765728).

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

57859872 is a wasteful number, since it uses less digits than its factorization.

57859872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3010 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The square root of 57859872 is about 7606.5676885176. The cubic root of 57859872 is about 386.7756780762.

The spelling of 57859872 in words is "fifty-seven million, eight hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 2969 3248 4872 5938 6496 8907 9744 11876 17814 19488 20783 23752 35628 41566 47504 62349 71256 83132 86101 95008 124698 142512 166264 172202 249396 258303 285024 332528 344404 498792 516606 602707 665056 688808 997584 1033212 1205414 1377616 1808121 1995168 2066424 2410828 2755232 3616242 4132848 4821656 7232484 8265696 9643312 14464968 19286624 28929936 57859872