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56455936 = 28832657
BaseRepresentation
bin1101011101011…
…1001100000000
310221020020222121
43113113030000
5103423042221
65334014024
71253603365
oct327271400
9127206877
1056455936
11299601a9
1216aa7314
13b908aa4
1476d846c
154e52a41
hex35d7300

56455936 has 36 divisors (see below), whose sum is σ = 114091992. Its totient is φ = 27877376.

The previous prime is 56455933. The next prime is 56455939. The reversal of 56455936 is 63955465.

It is an interprime number because it is at equal distance from previous prime (56455933) and next prime (56455939).

It is a junction number, because it is equal to n+sod(n) for n = 56455892 and 56455901.

It is not an unprimeable number, because it can be changed into a prime (56455933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19920 + ... + 22576.

It is an arithmetic number, because the mean of its divisors is an integer number (3169222).

Almost surely, 256455936 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 56455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57045996).

56455936 is an abundant number, since it is smaller than the sum of its proper divisors (57636056).

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

56455936 is an equidigital number, since it uses as much as digits as its factorization.

56455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2742 counting only the distinct ones).

The product of its digits is 486000, while the sum is 43.

The square root of 56455936 is about 7513.7165237983. The cubic root of 56455936 is about 383.6217339862.

The spelling of 56455936 in words is "fifty-six million, four hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 664 1328 2656 2657 5312 5314 10624 10628 21248 21256 42512 85024 170048 220531 340096 441062 680192 882124 1764248 3528496 7056992 14113984 28227968 56455936