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564532137 = 321324120021
BaseRepresentation
bin100001101001100…
…001001110101001
31110100021012111200
4201221201032221
52124010012022
6132003514413
716663305201
oct4151411651
91410235450
10564532137
1126a733394
12139088a09
138cc5abb0
1454d93401
1534863bac
hex21a613a9

564532137 has 24 divisors (see below), whose sum is σ = 881848968. Its totient is φ = 345945600.

The previous prime is 564532117. The next prime is 564532187. The reversal of 564532137 is 731235465.

564532137 is a `hidden beast` number, since 5 + 645 + 3 + 2 + 1 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 563540121 = 996^2 + 23739^2 .

It is not a de Polignac number, because 564532137 - 226 = 497423273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564532117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18187 + ... + 38207.

It is an arithmetic number, because the mean of its divisors is an integer number (36743707).

Almost surely, 2564532137 is an apocalyptic number.

It is an amenable number.

564532137 is a deficient number, since it is larger than the sum of its proper divisors (317316831).

564532137 is a wasteful number, since it uses less digits than its factorization.

564532137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20281 (or 20278 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 564532137 is about 23759.8850376007. The cubic root of 564532137 is about 826.4746869454.

The spelling of 564532137 in words is "five hundred sixty-four million, five hundred thirty-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 13 39 117 241 723 2169 3133 9399 20021 28197 60063 180189 260273 780819 2342457 4825061 14475183 43425549 62725793 188177379 564532137