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56448896 = 2772512
BaseRepresentation
bin1101011101010…
…1011110000000
310221012220022212
43113111132000
5103422331041
65333521252
71253544020
oct327253600
9127186285
1056448896
1129955989
1216aa3228
13b90581a
1476d5a80
154e508eb
hex35d5780

56448896 has 48 divisors (see below), whose sum is σ = 129036120. Its totient is φ = 24096000.

The previous prime is 56448883. The next prime is 56448901. The reversal of 56448896 is 69884465.

It is a happy number.

56448896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224771 + ... + 225021.

Almost surely, 256448896 is an apocalyptic number.

56448896 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 56448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64518060).

56448896 is an abundant number, since it is smaller than the sum of its proper divisors (72587224).

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

56448896 is an frugal number, since it uses more digits than its factorization.

56448896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 260 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The square root of 56448896 is about 7513.2480326421. The cubic root of 56448896 is about 383.6057875717.

The spelling of 56448896 in words is "fifty-six million, four hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 448 502 896 1004 1757 2008 3514 4016 7028 8032 14056 16064 28112 32128 56224 63001 112448 126002 224896 252004 441007 504008 882014 1008016 1764028 2016032 3528056 4032064 7056112 8064128 14112224 28224448 56448896