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56265984 = 283224421
BaseRepresentation
bin1101011010100…
…0110100000000
310220212121102100
43112220310000
5103401002414
65325550400
71252152525
oct326506400
9126777370
1056265984
1129840515
1216a15400
13b8704a8
14768914c
154e16609
hex35a8d00

56265984 has 54 divisors (see below), whose sum is σ = 162235346. Its totient is φ = 18754560.

The previous prime is 56265983. The next prime is 56266031. The reversal of 56265984 is 48956265.

56265984 is a `hidden beast` number, since 56 + 2 + 6 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 27878400 = 5328^2 + 5280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56265983) 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, 9907 + ... + 14514.

Almost surely, 256265984 is an apocalyptic number.

It is an amenable number.

56265984 is an abundant number, since it is smaller than the sum of its proper divisors (105969362).

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

56265984 is a wasteful number, since it uses less digits than its factorization.

56265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24443 (or 24426 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56265984 is about 7501.0655243105. The cubic root of 56265984 is about 383.1910051744.

The spelling of 56265984 in words is "fifty-six million, two hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 24421 48842 73263 97684 146526 195368 219789 293052 390736 439578 586104 781472 879156 1172208 1562944 1758312 2344416 3125888 3516624 4688832 6251776 7033248 9377664 14066496 18755328 28132992 56265984