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57368448 = 2732192621
BaseRepresentation
bin1101101011010…
…1111110000000
310222221121201100
43122311332000
5104141242243
65405334400
71264423644
oct332657600
9128847640
1057368448
112a423845
1217267400
13bb68237
147894c24
1550830d3
hex36b5f80

57368448 has 96 divisors (see below), whose sum is σ = 173838600. Its totient is φ = 18109440.

The previous prime is 57368447. The next prime is 57368459. The reversal of 57368448 is 84486375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×573684482 = 6582277651857408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57368447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20578 + ... + 23198.

Almost surely, 257368448 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 57368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86919300).

57368448 is an abundant number, since it is smaller than the sum of its proper divisors (116470152).

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

57368448 is a wasteful number, since it uses less digits than its factorization.

57368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2645 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 57368448 is about 7574.1961949767. The cubic root of 57368448 is about 385.6775565261.

The spelling of 57368448 in words is "fifty-seven million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2621 2736 3648 5242 5472 7296 7863 10484 10944 15726 20968 21888 23589 31452 41936 47178 49799 62904 83872 94356 99598 125808 149397 167744 188712 199196 251616 298794 335488 377424 398392 448191 503232 597588 754848 796784 896382 1006464 1195176 1509696 1593568 1792764 2390352 3019392 3187136 3585528 4780704 6374272 7171056 9561408 14342112 19122816 28684224 57368448