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564390944 = 25131356709
BaseRepresentation
bin100001101000111…
…110110000100000
31110100000000211022
4201220332300200
52123441002234
6132000505012
716662146435
oct4150766040
91410000738
10564390944
1126a6472a7
1213901b168
138cc0b850
1454d57b8c
1534836e2e
hex21a3ec20

564390944 has 24 divisors (see below), whose sum is σ = 1196618220. Its totient is φ = 260487936.

The previous prime is 564390943. The next prime is 564390947. The reversal of 564390944 is 449093465.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 557526544 + 6864400 = 23612^2 + 2620^2 .

It is a super-2 number, since 2×5643909442 = 637074275338422272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564390895 and 564390904.

It is not an unprimeable number, because it can be changed into a prime (564390941) 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, 677939 + ... + 678770.

Almost surely, 2564390944 is an apocalyptic number.

It is an amenable number.

564390944 is an abundant number, since it is smaller than the sum of its proper divisors (632227276).

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

564390944 is a wasteful number, since it uses less digits than its factorization.

564390944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356732 (or 1356724 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The square root of 564390944 is about 23756.9136042542. The cubic root of 564390944 is about 826.4057790464.

The spelling of 564390944 in words is "five hundred sixty-four million, three hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 1356709 2713418 5426836 10853672 17637217 21707344 35274434 43414688 70548868 141097736 282195472 564390944