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57002568 = 23373111091
BaseRepresentation
bin1101100101110…
…0101001001000
310222021000211020
43121130221020
5104043040233
65353432440
71261341150
oct331345110
9128230736
1057002568
112a1a3967
121710b720
13ba6a83c
1477db760
15500e9b3
hex365ca48

57002568 has 64 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 16219200.

The previous prime is 57002557. The next prime is 57002573. The reversal of 57002568 is 86520075.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51703 + ... + 52793.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 257002568 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 57002568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

57002568 is an abundant number, since it is smaller than the sum of its proper divisors (106535352).

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

57002568 is a wasteful number, since it uses less digits than its factorization.

57002568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 57002568 is about 7550.0045033099. The cubic root of 57002568 is about 384.8558925443.

The spelling of 57002568 in words is "fifty-seven million, two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1091 1244 1866 2177 2182 2488 3273 3732 4354 4364 6531 6546 7464 7637 8708 8728 13062 13092 15274 17416 22911 26124 26184 30548 45822 52248 61096 91644 183288 339301 678602 1017903 1357204 2035806 2375107 2714408 4071612 4750214 7125321 8143224 9500428 14250642 19000856 28501284 57002568