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64512656 = 24132691153
BaseRepresentation
bin1111011000011…
…0001010010000
311111101120201122
43312012022100
5113003401111
610222421412
71412230355
oct366061220
9144346648
1064512656
113346334a
1219731868
1310499c90
1487d462c
1559e4cdb
hex3d86290

64512656 has 40 divisors (see below), whose sum is σ = 135225720. Its totient is φ = 29638656.

The previous prime is 64512649. The next prime is 64512667. The reversal of 64512656 is 65621546.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 64000000 = 716^2 + 8000^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55376 + ... + 56528.

It is an arithmetic number, because the mean of its divisors is an integer number (3380643).

Almost surely, 264512656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64512656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67612860).

64512656 is an abundant number, since it is smaller than the sum of its proper divisors (70713064).

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

64512656 is a wasteful number, since it uses less digits than its factorization.

64512656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1437 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 64512656 is about 8031.9770916008. The cubic root of 64512656 is about 401.0651942186.

It can be divided in two parts, 64 and 512656, that multiplied together give a square (32809984 = 57282).

The spelling of 64512656 in words is "sixty-four million, five hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 269 538 1076 1153 2152 2306 3497 4304 4612 6994 9224 13988 14989 18448 27976 29978 55952 59956 119912 239824 310157 620314 1240628 2481256 4032041 4962512 8064082 16128164 32256328 64512656