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57686904 = 2334118093
BaseRepresentation
bin1101110000001…
…1101101111000
311000112210120000
43130003231320
5104231440104
65420233000
71300221252
oct334035570
9130483500
1057686904
112a621030
121739b760
13bc4a182
147938cd2
1550e7639
hex3703b78

57686904 has 80 divisors (see below), whose sum is σ = 176287320. Its totient is φ = 17478720.

The previous prime is 57686903. The next prime is 57686911. The reversal of 57686904 is 40968675.

It is a self number, because there is not a number n which added to its sum of digits gives 57686904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57686903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3082 + ... + 11174.

Almost surely, 257686904 is an apocalyptic number.

57686904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57686904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88143660).

57686904 is an abundant number, since it is smaller than the sum of its proper divisors (118600416).

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

57686904 is a wasteful number, since it uses less digits than its factorization.

57686904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57686904 is about 7595.1895302224. The cubic root of 57686904 is about 386.3898805266.

The spelling of 57686904 in words is "fifty-seven million, six hundred eighty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 8093 16186 24279 32372 48558 64744 72837 89023 97116 145674 178046 194232 218511 267069 291348 356092 437022 534138 582696 655533 712184 801207 874044 1068276 1311066 1602414 1748088 2136552 2403621 2622132 3204828 4807242 5244264 6409656 7210863 9614484 14421726 19228968 28843452 57686904