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56364336 = 2435719109
BaseRepresentation
bin1101011100000…
…0110100110000
310221001121100000
43113000310300
5103412124321
65332030000
71253042340
oct327006460
9127047300
1056364336
11298a83a6
1216a62300
13b8a61a2
1476b2d20
154e35826
hex35c0d30

56364336 has 240 divisors, whose sum is σ = 198598400. Its totient is φ = 15116544.

The previous prime is 56364289. The next prime is 56364349. The reversal of 56364336 is 63346365.

It is a happy number.

56364336 is a `hidden beast` number, since 5 + 6 + 3 + 643 + 3 + 6 = 666.

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 56364336.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 517050 + ... + 517158.

Almost surely, 256364336 is an apocalyptic number.

56364336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56364336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99299200).

56364336 is an abundant number, since it is smaller than the sum of its proper divisors (142234064).

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

56364336 is a wasteful number, since it uses less digits than its factorization.

56364336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

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

The square root of 56364336 is about 7507.6185305328. The cubic root of 56364336 is about 383.4141457013.

The spelling of 56364336 in words is "fifty-six million, three hundred sixty-four thousand, three hundred thirty-six".