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56260512 = 25327114359
BaseRepresentation
bin1101011010011…
…1011110100000
310220212022220200
43112213132200
5103400314022
65325505200
71252130550
oct326473640
9126768820
1056260512
11298373a0
1216a12200
13b86ab59
147687160
154e14bac
hex35a77a0

56260512 has 288 divisors, whose sum is σ = 207567360. Its totient is φ = 14031360.

The previous prime is 56260511. The next prime is 56260517. The reversal of 56260512 is 21506265.

56260512 is a `hidden beast` number, since 56 + 2 + 605 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (56260511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953539 + ... + 953597.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 256260512 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 56260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

56260512 is an abundant number, since it is smaller than the sum of its proper divisors (151306848).

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

56260512 is a wasteful number, since it uses less digits than its factorization.

56260512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56260512 is about 7500.7007672617. The cubic root of 56260512 is about 383.1785826946.

Adding to 56260512 its reverse (21506265), we get a palindrome (77766777).

The spelling of 56260512 in words is "fifty-six million, two hundred sixty thousand, five hundred twelve".