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64024256 = 261277877
BaseRepresentation
bin1111010000111…
…0111011000000
311110110202202202
43310032323000
5112342234011
610204132332
71405124432
oct364167300
9143422682
1064024256
113315a40a
12195370a8
131035889a
148708652
15594a23b
hex3d0eec0

64024256 has 28 divisors (see below), whose sum is σ = 128064768. Its totient is φ = 31756032.

The previous prime is 64024253. The next prime is 64024277. The reversal of 64024256 is 65242046.

64024256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

64024256 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (64024253) 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, 4190 + ... + 12066.

Almost surely, 264024256 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 64024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64032384).

64024256 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

64024256 is a wasteful number, since it uses less digits than its factorization.

64024256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8006 counting only the distinct ones).

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

The square root of 64024256 is about 8001.5158563862. The cubic root of 64024256 is about 400.0505269506.

The spelling of 64024256 in words is "sixty-four million, twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 7877 8128 15754 31508 63016 126032 252064 504128 1000379 2000758 4001516 8003032 16006064 32012128 64024256