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57464568 = 233271131009
BaseRepresentation
bin1101101100110…
…1011011111000
311000010111120100
43123031123320
5104202331233
65411355400
71265304120
oct333153370
9130114510
1057464568
112a489a87
12172b2b60
13bb9cc05
1478bbc80
1550a1813
hex36cd6f8

57464568 has 96 divisors (see below), whose sum is σ = 179618400. Its totient is φ = 16257024.

The previous prime is 57464543. The next prime is 57464611. The reversal of 57464568 is 86546475.

It is a congruent number.

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, 56448 + ... + 57456.

It is an arithmetic number, because the mean of its divisors is an integer number (1871025).

Almost surely, 257464568 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 57464568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89809200).

57464568 is an abundant number, since it is smaller than the sum of its proper divisors (122153832).

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

57464568 is a wasteful number, since it uses less digits than its factorization.

57464568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 57464568 is about 7580.5387671326. The cubic root of 57464568 is about 385.8928353836.

The spelling of 57464568 in words is "fifty-seven million, four hundred sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1009 1017 1356 1582 2018 2034 2373 2712 3027 3164 4036 4068 4746 6054 6328 7063 7119 8072 8136 9081 9492 12108 14126 14238 18162 18984 21189 24216 28252 28476 36324 42378 56504 56952 63567 72648 84756 114017 127134 169512 228034 254268 342051 456068 508536 684102 798119 912136 1026153 1368204 1596238 2052306 2394357 2736408 3192476 4104612 4788714 6384952 7183071 8209224 9577428 14366142 19154856 28732284 57464568