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64076256 = 2532317177
BaseRepresentation
bin1111010001101…
…1100111100000
311110120102002200
43310123213200
5112400420011
610205213200
71405432146
oct364334740
9143512080
1064076256
1133195492
1219561200
131037645a
14871d596
15595a856
hex3d1b9e0

64076256 has 72 divisors (see below), whose sum is σ = 188121024. Its totient is φ = 20666880.

The previous prime is 64076237. The next prime is 64076273. The reversal of 64076256 is 65267046.

64076256 is a `hidden beast` number, since 640 + 7 + 6 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64076256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5340 + ... + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (2612792).

Almost surely, 264076256 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 64076256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94060512).

64076256 is an abundant number, since it is smaller than the sum of its proper divisors (124044768).

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

64076256 is a wasteful number, since it uses less digits than its factorization.

64076256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 64076256 is about 8004.7645811729. The cubic root of 64076256 is about 400.1588036119.

The spelling of 64076256 in words is "sixty-four million, seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 7177 8928 14354 21531 28708 43062 57416 64593 86124 114832 129186 172248 222487 229664 258372 344496 444974 516744 667461 688992 889948 1033488 1334922 1779896 2002383 2066976 2669844 3559792 4004766 5339688 7119584 8009532 10679376 16019064 21358752 32038128 64076256