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55960956 = 22376397
BaseRepresentation
bin1101010101111…
…0010101111100
310220022010000000
43111132111330
5103311222311
65315234300
71246442322
oct325362574
9126263000
1055960956
1129652327
12168a8990
13b7946bc
147609d12
154da6056
hex355e57c

55960956 has 48 divisors (see below), whose sum is σ = 146898080. Its totient is φ = 18650736.

The previous prime is 55960939. The next prime is 55960967. The reversal of 55960956 is 65906955.

55960956 is a `hidden beast` number, since 5 + 596 + 0 + 9 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550 + ... + 11946.

Almost surely, 255960956 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 55960956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73449040).

55960956 is an abundant number, since it is smaller than the sum of its proper divisors (90937124).

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

55960956 is an equidigital number, since it uses as much as digits as its factorization.

55960956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 55960956 is about 7480.7055816948. The cubic root of 55960956 is about 382.4973010190.

The spelling of 55960956 in words is "fifty-five million, nine hundred sixty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6397 8748 12794 19191 25588 38382 57573 76764 115146 172719 230292 345438 518157 690876 1036314 1554471 2072628 3108942 4663413 6217884 9326826 13990239 18653652 27980478 55960956