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56725760 = 285713487
BaseRepresentation
bin1101100001100…
…1000100000000
310221201222010002
43120121010000
5104010211020
65343455132
71256106140
oct330310400
9127658102
1056725760
112a0249a3
1216bb74a8
13b9a1850
147768920
154ea7975
hex3619100

56725760 has 144 divisors (see below), whose sum is σ = 167575296. Its totient is φ = 17915904.

The previous prime is 56725759. The next prime is 56725763. The reversal of 56725760 is 6752765.

It is not an unprimeable number, because it can be changed into a prime (56725763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116237 + ... + 116723.

Almost surely, 256725760 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 56725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83787648).

56725760 is an abundant number, since it is smaller than the sum of its proper divisors (110849536).

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

56725760 is a wasteful number, since it uses less digits than its factorization.

56725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 56725760 is about 7531.6505495144. The cubic root of 56725760 is about 384.2319200869.

The spelling of 56725760 in words is "fifty-six million, seven hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 487 520 560 640 728 832 896 910 974 1040 1120 1280 1456 1664 1792 1820 1948 2080 2240 2435 2912 3328 3409 3640 3896 4160 4480 4870 5824 6331 6818 7280 7792 8320 8960 9740 11648 12662 13636 14560 15584 16640 17045 19480 23296 25324 27272 29120 31168 31655 34090 38960 44317 50648 54544 58240 62336 63310 68180 77920 88634 101296 109088 116480 124672 126620 136360 155840 177268 202592 218176 221585 253240 272720 311680 354536 405184 436352 443170 506480 545440 623360 709072 810368 872704 886340 1012960 1090880 1418144 1620736 1772680 2025920 2181760 2836288 3545360 4051840 4363520 5672576 7090720 8103680 11345152 14181440 28362880 56725760