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564400064 = 2647187633
BaseRepresentation
bin100001101001000…
…000111111000000
31110100000111100002
4201221000333000
52123441300224
6132001015132
716662215144
oct4151007700
91410014302
10564400064
1126a653138
121390244a8
138cc12a47
1454d5b224
15348399ae
hex21a40fc0

564400064 has 28 divisors (see below), whose sum is σ = 1143816864. Its totient is φ = 276194304.

The previous prime is 564400063. The next prime is 564400079. The reversal of 564400064 is 460004465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564400063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90809 + ... + 96824.

Almost surely, 2564400064 is an apocalyptic number.

It is an amenable number.

564400064 is an abundant number, since it is smaller than the sum of its proper divisors (579416800).

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

564400064 is a wasteful number, since it uses less digits than its factorization.

564400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187692 (or 187682 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 564400064 is about 23757.1055476041. The cubic root of 564400064 is about 826.4102303227.

The spelling of 564400064 in words is "five hundred sixty-four million, four hundred thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 187633 375266 750532 1501064 3002128 6004256 8818751 12008512 17637502 35275004 70550008 141100016 282200032 564400064