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56436336 = 24321124179
BaseRepresentation
bin1101011101001…
…0011001110000
310221012021002200
43113102121300
5103421430321
65333343200
71253462265
oct327223160
9127167080
1056436336
1129947500
1216a97b00
13b8ccba8
1476d126c
154e4bd26
hex35d2670

56436336 has 180 divisors, whose sum is σ = 180092640. Its totient is φ = 16473600.

The previous prime is 56436323. The next prime is 56436353. The reversal of 56436336 is 63363465.

It is a happy number.

56436336 is a `hidden beast` number, since 5 + 643 + 6 + 3 + 3 + 6 = 666.

56436336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564363362 = 6370120042209792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56436336.

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 35 ways as a sum of consecutive naturals, for example, 714345 + ... + 714423.

Almost surely, 256436336 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 56436336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

56436336 is an abundant number, since it is smaller than the sum of its proper divisors (123656304).

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

56436336 is a wasteful number, since it uses less digits than its factorization.

56436336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 56436336 is about 7512.4121292698. The cubic root of 56436336 is about 383.5773344254.

The spelling of 56436336 in words is "fifty-six million, four hundred thirty-six thousand, three hundred thirty-six".