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56756896 = 25735171
BaseRepresentation
bin1101100010000…
…0101010100000
310221210112211021
43120200222200
5104012210041
65344255224
71256266000
oct330405240
9127715737
1056756896
112a046329
1217011514
13b9b2a81
147776000
154eb1cd1
hex3620aa0

56756896 has 48 divisors (see below), whose sum is σ = 130334400. Its totient is φ = 24319680.

The previous prime is 56756891. The next prime is 56756899. The reversal of 56756896 is 69865765.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56756891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8391 + ... + 13561.

It is an arithmetic number, because the mean of its divisors is an integer number (2715300).

Almost surely, 256756896 is an apocalyptic number.

56756896 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 56756896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65167200).

56756896 is an abundant number, since it is smaller than the sum of its proper divisors (73577504).

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

56756896 is an equidigital number, since it uses as much as digits as its factorization.

56756896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5180 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The square root of 56756896 is about 7533.7172763517. The cubic root of 56756896 is about 384.3022071244.

The spelling of 56756896 in words is "fifty-six million, seven hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5171 5488 10342 10976 20684 36197 41368 72394 82736 144788 165472 253379 289576 506758 579152 1013516 1158304 1773653 2027032 3547306 4054064 7094612 8108128 14189224 28378448 56756896