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564322264 = 23113126673
BaseRepresentation
bin100001101000101…
…101111111011000
31110022212112121121
4201220231333120
52123431303024
6131555215024
716661442262
oct4150557730
91408775547
10564322264
1126a5aa740
12138ba7474
138cbb64cc
1454d3ab32
15348218e4
hex21a2dfd8

564322264 has 48 divisors (see below), whose sum is σ = 1192910760. Its totient is φ = 248198400.

The previous prime is 564322177. The next prime is 564322267. The reversal of 564322264 is 462223465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564322267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81232 + ... + 87904.

Almost surely, 2564322264 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 564322264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596455380).

564322264 is an abundant number, since it is smaller than the sum of its proper divisors (628588496).

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

564322264 is a wasteful number, since it uses less digits than its factorization.

564322264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6717 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 564322264 is about 23755.4680863165. The cubic root of 564322264 is about 826.3722562718.

The spelling of 564322264 in words is "five hundred sixty-four million, three hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 961 1364 1922 2728 3844 6673 7688 10571 13346 21142 26692 42284 53384 73403 84568 146806 206863 293612 413726 587224 827452 1654904 2275493 4550986 6412753 9101972 12825506 18203944 25651012 51302024 70540283 141080566 282161132 564322264