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56047680 = 2633513499
BaseRepresentation
bin1101010111001…
…1100001000000
310220110111222000
43111303201000
5103322011210
65321144000
71250253213
oct325634100
9126414860
1056047680
11297014a7
121692b000
13b7c5010
14762d77a
154dc1ac0
hex3573840

56047680 has 224 divisors, whose sum is σ = 213360000. Its totient is φ = 13768704.

The previous prime is 56047639. The next prime is 56047681. The reversal of 56047680 is 8674065.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56047681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112071 + ... + 112569.

It is an arithmetic number, because the mean of its divisors is an integer number (952500).

Almost surely, 256047680 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 56047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680000).

56047680 is an abundant number, since it is smaller than the sum of its proper divisors (157312320).

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

56047680 is a wasteful number, since it uses less digits than its factorization.

56047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56047680 is about 7486.4998497295. The cubic root of 56047680 is about 382.6947873702.

The spelling of 56047680 in words is "fifty-six million, forty-seven thousand, six hundred eighty".