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56318976 = 21034797
BaseRepresentation
bin1101011011010…
…1110000000000
310220222022010000
43112311300000
5103404201401
65331040000
71252463160
oct326656000
9126868100
1056318976
112987730a
1216a40000
13b88b64c
1476a05a0
154e27186
hex35b5c00

56318976 has 220 divisors, whose sum is σ = 194186608. Its totient is φ = 15925248.

The previous prime is 56318963. The next prime is 56318993. The reversal of 56318976 is 67981365.

It is a happy number.

56318976 is a `hidden beast` number, since 5 + 631 + 8 + 9 + 7 + 6 = 666.

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 19 ways as a sum of consecutive naturals, for example, 580560 + ... + 580656.

Almost surely, 256318976 is an apocalyptic number.

56318976 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 56318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97093304).

56318976 is an abundant number, since it is smaller than the sum of its proper divisors (137867632).

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

56318976 is an equidigital number, since it uses as much as digits as its factorization.

56318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 56318976 is about 7504.5969911781. The cubic root of 56318976 is about 383.3112654383.

The spelling of 56318976 in words is "fifty-six million, three hundred eighteen thousand, nine hundred seventy-six".