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57500664 = 233131737293
BaseRepresentation
bin1101101101011…
…0001111111000
311000012100002020
43123112033320
5104210010124
65412234440
71265514264
oct333261770
9130170066
1057500664
112a504111
121730ba20
13bbb3480
1478cb0a4
1550ac379
hex36d63f8

57500664 has 128 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 16146432.

The previous prime is 57500617. The next prime is 57500687. The reversal of 57500664 is 46600575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196102 + ... + 196394.

Almost surely, 257500664 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 57500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

57500664 is an abundant number, since it is smaller than the sum of its proper divisors (111419976).

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

57500664 is a wasteful number, since it uses less digits than its factorization.

57500664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 57500664 is about 7582.9192267886. The cubic root of 57500664 is about 385.9736171754.

The spelling of 57500664 in words is "fifty-seven million, five hundred thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 37 39 51 52 68 74 78 102 104 111 136 148 156 204 221 222 293 296 312 408 442 444 481 586 629 663 879 884 888 962 1172 1258 1326 1443 1758 1768 1887 1924 2344 2516 2652 2886 3516 3774 3809 3848 4981 5032 5304 5772 7032 7548 7618 8177 9962 10841 11427 11544 14943 15096 15236 16354 19924 21682 22854 24531 29886 30472 32523 32708 39848 43364 45708 49062 59772 64753 65046 65416 86728 91416 98124 119544 129506 130092 140933 184297 194259 196248 259012 260184 281866 368594 388518 422799 518024 552891 563732 737188 777036 845598 1105782 1127464 1474376 1554072 1691196 2211564 2395861 3382392 4423128 4791722 7187583 9583444 14375166 19166888 28750332 57500664