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64581376 = 28298699
BaseRepresentation
bin1111011001011…
…0111100000000
311111112001222211
43312112330000
5113013101001
610224111504
71412634616
oct366267400
9144461884
1064581376
11334aaa42
1219765594
13104c2342
1488116b6
155a0a351
hex3d96f00

64581376 has 36 divisors (see below), whose sum is σ = 133371000. Its totient is φ = 31173632.

The previous prime is 64581331. The next prime is 64581379. The reversal of 64581376 is 67318546.

It is a happy number.

64581376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64581379) 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, 3075 + ... + 11773.

It is an arithmetic number, because the mean of its divisors is an integer number (3704750).

Almost surely, 264581376 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 64581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685500).

64581376 is an abundant number, since it is smaller than the sum of its proper divisors (68789624).

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

64581376 is an equidigital number, since it uses as much as digits as its factorization.

64581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8730 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 64581376 is about 8036.2538536311. The cubic root of 64581376 is about 401.2075508838.

The spelling of 64581376 in words is "sixty-four million, five hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 8699 17398 34796 69592 139184 252271 278368 504542 556736 1009084 1113472 2018168 2226944 4036336 8072672 16145344 32290688 64581376