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56696832 = 21332769
BaseRepresentation
bin1101100001001…
…0000000000000
310221200111102200
43120102000000
5104003244312
65343113200
71255625613
oct330220000
9127614380
1056696832
112a005195
1216ba2800
13b99162a
14775c17a
154e9e0dc
hex3612000

56696832 has 84 divisors (see below), whose sum is σ = 163993830. Its totient is φ = 18874368.

The previous prime is 56696831. The next prime is 56696869. The reversal of 56696832 is 23869665.

It is a happy number.

56696832 is a `hidden beast` number, since 566 + 9 + 6 + 83 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 6230016 = 7104^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (56696831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73344 + ... + 74112.

Almost surely, 256696832 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 56696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81996915).

56696832 is an abundant number, since it is smaller than the sum of its proper divisors (107296998).

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

56696832 is an equidigital number, since it uses as much as digits as its factorization.

56696832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 774 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56696832 is about 7529.7298756330. The cubic root of 56696832 is about 384.1665943810.

The spelling of 56696832 in words is "fifty-six million, six hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 769 1024 1152 1536 1538 2048 2304 2307 3072 3076 4096 4608 4614 6144 6152 6921 8192 9216 9228 12288 12304 13842 18432 18456 24576 24608 27684 36864 36912 49216 55368 73728 73824 98432 110736 147648 196864 221472 295296 393728 442944 590592 787456 885888 1181184 1574912 1771776 2362368 3149824 3543552 4724736 6299648 7087104 9449472 14174208 18898944 28348416 56696832