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57730568 = 237532367
BaseRepresentation
bin1101110000111…
…0011000001000
311000122000110012
43130032120020
5104234334233
65421211052
71300462460
oct334163010
9130560405
1057730568
112a650915
1217400a88
13bc63ccc
14794aba0
155105548
hex370e608

57730568 has 48 divisors (see below), whose sum is σ = 126430080. Its totient is φ = 24208704.

The previous prime is 57730559. The next prime is 57730571. The reversal of 57730568 is 86503775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157121 + ... + 157487.

It is an arithmetic number, because the mean of its divisors is an integer number (2633960).

Almost surely, 257730568 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 57730568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63215040).

57730568 is an abundant number, since it is smaller than the sum of its proper divisors (68699512).

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

57730568 is a wasteful number, since it uses less digits than its factorization.

57730568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 57730568 is about 7598.0634374819. The cubic root of 57730568 is about 386.4873438539.

The spelling of 57730568 in words is "fifty-seven million, seven hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 367 371 424 734 742 1468 1484 2569 2809 2936 2968 5138 5618 10276 11236 19451 19663 20552 22472 38902 39326 77804 78652 136157 155608 157304 272314 544628 1030903 1089256 2061806 4123612 7216321 8247224 14432642 28865284 57730568