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57614368 = 257318297
BaseRepresentation
bin1101101111001…
…0000000100000
311000102010001111
43123302000200
5104222124433
65414513104
71266466630
oct333620040
9130363044
1057614368
112a581589
1217365794
13bc23156
14791a6c0
1550d0dcd
hex36f2020

57614368 has 48 divisors (see below), whose sum is σ = 133830144. Its totient is φ = 23892480.

The previous prime is 57614357. The next prime is 57614369. The reversal of 57614368 is 86341675.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 57614368.

It is not an unprimeable number, because it can be changed into a prime (57614369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796 + ... + 11092.

It is an arithmetic number, because the mean of its divisors is an integer number (2788128).

Almost surely, 257614368 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 57614368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66915072).

57614368 is an abundant number, since it is smaller than the sum of its proper divisors (76215776).

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

57614368 is a wasteful number, since it uses less digits than its factorization.

57614368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8337 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 57614368 is about 7590.4129004949. The cubic root of 57614368 is about 386.2278626344.

The spelling of 57614368 in words is "fifty-seven million, six hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 8297 16594 33188 58079 66376 116158 132752 232316 257207 265504 464632 514414 929264 1028828 1800449 1858528 2057656 3600898 4115312 7201796 8230624 14403592 28807184 57614368