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564935080 = 23529487013
BaseRepresentation
bin100001101011000…
…011100110101000
31110101000200020111
4201223003212220
52124110410310
6132020304104
716666604023
oct4153034650
91411020214
10564935080
1126a9890a6
12139242034
139006c418
145505a1ba
15348e328a
hex21ac39a8

564935080 has 32 divisors (see below), whose sum is σ = 1314937800. Its totient is φ = 218181376.

The previous prime is 564935057. The next prime is 564935093. The reversal of 564935080 is 80539465.

It can be written as a sum of positive squares in 4 ways, for example, as 390536644 + 174398436 = 19762^2 + 13206^2 .

It is a super-2 number, since 2×5649350802 = 638303289229212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 242347 + ... + 244666.

Almost surely, 2564935080 is an apocalyptic number.

It is an amenable number.

564935080 is an abundant number, since it is smaller than the sum of its proper divisors (750002720).

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

564935080 is a wasteful number, since it uses less digits than its factorization.

564935080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487053 (or 487049 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 564935080 is about 23768.3630063158. The cubic root of 564935080 is about 826.6712762779.

The spelling of 564935080 in words is "five hundred sixty-four million, nine hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 487013 974026 1948052 2435065 3896104 4870130 9740260 14123377 19480520 28246754 56493508 70616885 112987016 141233770 282467540 564935080