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56807088 = 24313591543
BaseRepresentation
bin1101100010110…
…0111010110000
310221220002200020
43120230322300
5104020311323
65345323440
71256565222
oct330547260
9127802606
1056807088
112a080008
1217036580
13b9cc880
14778a412
154ec1ae3
hex362ceb0

56807088 has 80 divisors (see below), whose sum is σ = 160823040. Its totient is φ = 17171712.

The previous prime is 56807087. The next prime is 56807111. The reversal of 56807088 is 88070865.

It is a happy number.

56807088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56807087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36045 + ... + 37587.

It is an arithmetic number, because the mean of its divisors is an integer number (2010288).

Almost surely, 256807088 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 56807088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80411520).

56807088 is an abundant number, since it is smaller than the sum of its proper divisors (104015952).

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

56807088 is a wasteful number, since it uses less digits than its factorization.

56807088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 56807088 is about 7537.0476978722. The cubic root of 56807088 is about 384.4154574640.

The spelling of 56807088 in words is "fifty-six million, eight hundred seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 1543 2301 2832 3068 3086 4602 4629 6136 6172 9204 9258 12272 12344 18408 18516 20059 24688 36816 37032 40118 60177 74064 80236 91037 120354 160472 182074 240708 273111 320944 364148 481416 546222 728296 962832 1092444 1183481 1456592 2184888 2366962 3550443 4369776 4733924 7100886 9467848 14201772 18935696 28403544 56807088