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57216816 = 2432735443
BaseRepresentation
bin1101101001000…
…0111100110000
310222122220201100
43122100330300
5104121414231
65402204400
71263222606
oct332207460
9128586640
1057216816
112a32a928
12171b3700
13bb14207
147855876
1550531e6
hex3690f30

57216816 has 60 divisors (see below), whose sum is σ = 162350968. Its totient is φ = 18807552.

The previous prime is 57216811. The next prime is 57216823. The reversal of 57216816 is 61861275.

57216816 is a `hidden beast` number, since 572 + 1 + 6 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57216811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7791 + ... + 13233.

Almost surely, 257216816 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 57216816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81175484).

57216816 is an abundant number, since it is smaller than the sum of its proper divisors (105134152).

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

57216816 is a wasteful number, since it uses less digits than its factorization.

57216816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5521 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 57216816 is about 7564.1797969112. The cubic root of 57216816 is about 385.3374586655.

The spelling of 57216816 in words is "fifty-seven million, two hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 5443 10512 10886 16329 21772 32658 43544 48987 65316 87088 97974 130632 195948 261264 391896 397339 783792 794678 1192017 1589356 2384034 3178712 3576051 4768068 6357424 7152102 9536136 14304204 19072272 28608408 57216816