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564464465 = 5317356129
BaseRepresentation
bin100001101001010…
…000101101010001
31110100010202200022
4201221100231101
52124000330330
6132002233225
716662603665
oct4151205521
91410122608
10564464465
1126a697564
12139055815
138cc36156
1454d768a5
153484dae5
hex21a50b51

564464465 has 8 divisors (see below), whose sum is σ = 679496040. Its totient is φ = 450145792.

The previous prime is 564464443. The next prime is 564464477.

564464465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1256641 + 563207824 = 1121^2 + 23732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 564464465 - 214 = 564448081 is a prime.

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, 176480 + ... + 179649.

It is an arithmetic number, because the mean of its divisors is an integer number (84937005).

Almost surely, 2564464465 is an apocalyptic number.

It is an amenable number.

564464465 is a deficient number, since it is larger than the sum of its proper divisors (115031575).

564464465 is a wasteful number, since it uses less digits than its factorization.

564464465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356451.

The product of its digits is 1382400, while the sum is 44.

The square root of 564464465 is about 23758.4609139565. The cubic root of 564464465 is about 826.4416617042.

The spelling of 564464465 in words is "five hundred sixty-four million, four hundred sixty-four thousand, four hundred sixty-five".

Divisors: 1 5 317 1585 356129 1780645 112892893 564464465