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57250560 = 283517877
BaseRepresentation
bin1101101001100…
…1001100000000
310222201122000010
43122121030000
5104124004220
65403024520
71263423153
oct332311400
9128648003
1057250560
112a353214
121720b140
13bb26693
147863c9a
15505d1e0
hex3699300

57250560 has 144 divisors (see below), whose sum is σ = 193820256. Its totient is φ = 14352384.

The previous prime is 57250549. The next prime is 57250573. The reversal of 57250560 is 6505275.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 64842 + ... + 65718.

It is an arithmetic number, because the mean of its divisors is an integer number (1345974).

Almost surely, 257250560 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 57250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96910128).

57250560 is an abundant number, since it is smaller than the sum of its proper divisors (136569696).

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

57250560 is a wasteful number, since it uses less digits than its factorization.

57250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 57250560 is about 7566.4099809619. The cubic root of 57250560 is about 385.4131955600.

The spelling of 57250560 in words is "fifty-seven million, two hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 877 960 1020 1088 1280 1360 1632 1754 1920 2040 2176 2631 2720 3264 3508 3840 4080 4352 4385 5262 5440 6528 7016 8160 8770 10524 10880 13056 13155 14032 14909 16320 17540 21048 21760 26310 28064 29818 32640 35080 42096 44727 52620 56128 59636 65280 70160 74545 84192 89454 105240 112256 119272 140320 149090 168384 178908 210480 223635 224512 238544 280640 298180 336768 357816 420960 447270 477088 561280 596360 673536 715632 841920 894540 954176 1122560 1192720 1431264 1683840 1789080 1908352 2385440 2862528 3367680 3578160 3816704 4770880 5725056 7156320 9541760 11450112 14312640 19083520 28625280 57250560