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56754960 = 2435236479
BaseRepresentation
bin1101100010000…
…0001100010000
310221210110011120
43120200030100
5104012124320
65344242240
71256260233
oct330401420
9127713146
1056754960
112a044929
1217010380
13b9b1c22
14777541a
154eb1440
hex3620310

56754960 has 40 divisors (see below), whose sum is σ = 175941120. Its totient is φ = 15134592.

The previous prime is 56754953. The next prime is 56754967. The reversal of 56754960 is 6945765.

It is an interprime number because it is at equal distance from previous prime (56754953) and next prime (56754967).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×567549602 = 6442250969203200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56754967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118000 + ... + 118479.

It is an arithmetic number, because the mean of its divisors is an integer number (4398528).

Almost surely, 256754960 is an apocalyptic number.

It is an amenable number.

56754960 is an abundant number, since it is smaller than the sum of its proper divisors (119186160).

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

56754960 is a wasteful number, since it uses less digits than its factorization.

56754960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236495 (or 236489 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 56754960 is about 7533.5887862293. The cubic root of 56754960 is about 384.2978375084.

The spelling of 56754960 in words is "fifty-six million, seven hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 236479 472958 709437 945916 1182395 1418874 1891832 2364790 2837748 3547185 3783664 4729580 5675496 7094370 9459160 11350992 14188740 18918320 28377480 56754960