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56459648 = 277611033
BaseRepresentation
bin1101011101100…
…0000110000000
310221020110002002
43113120012000
5103423202043
65334043132
71253620250
oct327300600
9127213062
1056459648
1129962a73
1216aa94a8
13b90a69b
1476d9960
154e53bb8
hex35d8180

56459648 has 64 divisors (see below), whose sum is σ = 130780320. Its totient is φ = 23777280.

The previous prime is 56459639. The next prime is 56459651. The reversal of 56459648 is 84695465.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54140 + ... + 55172.

Almost surely, 256459648 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 56459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65390160).

56459648 is an abundant number, since it is smaller than the sum of its proper divisors (74320672).

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

56459648 is a wasteful number, since it uses less digits than its factorization.

56459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1103 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 56459648 is about 7513.9635346467. The cubic root of 56459648 is about 383.6301415619.

The spelling of 56459648 in words is "fifty-six million, four hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1033 1708 1952 2066 3416 3904 4132 6832 7231 7808 8264 13664 14462 16528 27328 28924 33056 54656 57848 63013 66112 115696 126026 132224 231392 252052 441091 462784 504104 882182 925568 1008208 1764364 2016416 3528728 4032832 7057456 8065664 14114912 28229824 56459648