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57418764 = 223132231231
BaseRepresentation
bin1101101100001…
…0010000001100
311000001011201220
43123002100030
5104144400024
65410403340
71265023434
oct333022014
9130034656
1057418764
112a458627
1217290550
13bb85100
1478a92c4
155092e79
hex36c240c

57418764 has 72 divisors (see below), whose sum is σ = 151506432. Its totient is φ = 16885440.

The previous prime is 57418759. The next prime is 57418771. The reversal of 57418764 is 46781475.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46029 + ... + 47259.

It is an arithmetic number, because the mean of its divisors is an integer number (2104256).

Almost surely, 257418764 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 57418764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75753216).

57418764 is an abundant number, since it is smaller than the sum of its proper divisors (94087668).

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

57418764 is a wasteful number, since it uses less digits than its factorization.

57418764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1272 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 57418764 is about 7577.5170075692. The cubic root of 57418764 is about 385.7902786582.

The spelling of 57418764 in words is "fifty-seven million, four hundred eighteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 276 299 338 507 598 676 897 1014 1196 1231 1794 2028 2462 3588 3693 3887 4924 7386 7774 11661 14772 15548 16003 23322 28313 32006 46644 48009 56626 64012 84939 96018 113252 169878 192036 208039 339756 368069 416078 624117 736138 832156 1104207 1248234 1472276 2208414 2496468 4416828 4784897 9569794 14354691 19139588 28709382 57418764