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56645320 = 2352322677
BaseRepresentation
bin1101100000010…
…1011011001000
310221120212202211
43120011123020
5104000122240
65342034504
71255322464
oct330053310
9127525684
1056645320
1129a7a516
1216b78a34
13b974054
1477474a4
154e8dbea
hex36056c8

56645320 has 48 divisors (see below), whose sum is σ = 133284060. Its totient is φ = 21664896.

The previous prime is 56645279. The next prime is 56645341. The reversal of 56645320 is 2354665.

It can be written as a sum of positive squares in 2 ways, for example, as 48246916 + 8398404 = 6946^2 + 2898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19822 + ... + 22498.

Almost surely, 256645320 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 56645320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66642030).

56645320 is an abundant number, since it is smaller than the sum of its proper divisors (76638740).

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

56645320 is a wasteful number, since it uses less digits than its factorization.

56645320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 56645320 is about 7526.3085241040. The cubic root of 56645320 is about 384.0502140642.

Adding to 56645320 its reverse (2354665), we get a palindrome (58999985).

It can be divided in two parts, 56645 and 320, that added together give a palindrome (56965).

The spelling of 56645320 in words is "fifty-six million, six hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 529 920 1058 2116 2645 2677 4232 5290 5354 10580 10708 13385 21160 21416 26770 53540 61571 107080 123142 246284 307855 492568 615710 1231420 1416133 2462840 2832266 5664532 7080665 11329064 14161330 28322660 56645320