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64552064 = 27717103
BaseRepresentation
bin1111011000111…
…1110010000000
311111110120210012
43312033302000
5113011131224
610223324052
71412453303
oct366176200
9144416705
1064552064
113348aa15
1219750628
13104b1bb5
148804b3a
155a0180e
hex3d8fc80

64552064 has 32 divisors (see below), whose sum is σ = 130429440. Its totient is φ = 31816960.

The previous prime is 64552049. The next prime is 64552069. The reversal of 64552064 is 46025546.

64552064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 64552064.

It is not an unprimeable number, because it can be changed into a prime (64552069) 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 3 ways as a sum of consecutive naturals, for example, 5537 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (4075920).

Almost surely, 264552064 is an apocalyptic number.

64552064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214720).

64552064 is an abundant number, since it is smaller than the sum of its proper divisors (65877376).

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

64552064 is an equidigital number, since it uses as much as digits as its factorization.

64552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 64552064 is about 8034.4299113254. The cubic root of 64552064 is about 401.1468420740.

The spelling of 64552064 in words is "sixty-four million, five hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 7103 9088 14206 28412 56824 113648 227296 454592 504313 909184 1008626 2017252 4034504 8069008 16138016 32276032 64552064