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564710085 = 32512549113
BaseRepresentation
bin100001101010001…
…100101011000101
31110100121020121100
4201222030223011
52124031210320
6132011410313
716664646042
oct4152145305
91410536540
10564710085
1126a845055
12139153999
138ccc0ba4
1454ddc1c9
153489b790
hex21a8cac5

564710085 has 12 divisors (see below), whose sum is σ = 978830892. Its totient is φ = 301178688.

The previous prime is 564710017. The next prime is 564710093. The reversal of 564710085 is 580017465.

564710085 is a `hidden beast` number, since 5 + 647 + 1 + 0 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 382945761 + 181764324 = 19569^2 + 13482^2 .

It is not a de Polignac number, because 564710085 - 212 = 564705989 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6274512 + ... + 6274601.

It is an arithmetic number, because the mean of its divisors is an integer number (81569241).

Almost surely, 2564710085 is an apocalyptic number.

It is an amenable number.

564710085 is a deficient number, since it is larger than the sum of its proper divisors (414120807).

564710085 is a wasteful number, since it uses less digits than its factorization.

564710085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12549124 (or 12549121 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 564710085 is about 23763.6294576397. The cubic root of 564710085 is about 826.5615164087.

It can be divided in two parts, 564 and 710085, that added together give a square (710649 = 8432).

The spelling of 564710085 in words is "five hundred sixty-four million, seven hundred ten thousand, eighty-five".

Divisors: 1 3 5 9 15 45 12549113 37647339 62745565 112942017 188236695 564710085