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56963556 = 223213592063
BaseRepresentation
bin1101100101001…
…1000111100100
310222012001022100
43121103013210
5104040313211
65352532100
71261116336
oct331230744
9128161270
1056963556
112a177621
12170b1030
13ba55b60
1477cb456
155003156
hex36531e4

56963556 has 72 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 17221824.

The previous prime is 56963527. The next prime is 56963563. The reversal of 56963556 is 65536965.

56963556 is a `hidden beast` number, since 5 + 6 + 9 + 635 + 5 + 6 = 666.

56963556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26581 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (2191280).

Almost surely, 256963556 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 56963556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78886080).

56963556 is an abundant number, since it is smaller than the sum of its proper divisors (100808604).

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

56963556 is a wasteful number, since it uses less digits than its factorization.

56963556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2140 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The square root of 56963556 is about 7547.4204864974. The cubic root of 56963556 is about 384.7680753047.

The spelling of 56963556 in words is "fifty-six million, nine hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2063 2124 2301 3068 4126 4602 6189 6903 8252 9204 12378 13806 18567 24756 26819 27612 37134 53638 74268 80457 107276 121717 160914 241371 243434 321828 365151 482742 486868 730302 965484 1095453 1460604 1582321 2190906 3164642 4381812 4746963 6329284 9493926 14240889 18987852 28481778 56963556