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64085256 = 233498897
BaseRepresentation
bin1111010001110…
…1110100001000
311110120212110000
43310131310020
5112401212011
610205323000
71405500324
oct364356410
9143525400
1064085256
11331a1224
1219566460
131037a591
148722984
15595d356
hex3d1dd08

64085256 has 40 divisors (see below), whose sum is σ = 179499870. Its totient is φ = 21361536.

The previous prime is 64085249. The next prime is 64085279. The reversal of 64085256 is 65258046.

64085256 is a `hidden beast` number, since 640 + 8 + 5 + 2 + 5 + 6 = 666.

64085256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55264356 + 8820900 = 7434^2 + 2970^2 .

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 64085256.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 48801 + ... + 50096.

Almost surely, 264085256 is an apocalyptic number.

It is an amenable number.

64085256 is an abundant number, since it is smaller than the sum of its proper divisors (115414614).

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

64085256 is a wasteful number, since it uses less digits than its factorization.

64085256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98915 (or 98902 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 64085256 is about 8005.3267266240. The cubic root of 64085256 is about 400.1775378558.

It can be divided in two parts, 6408 and 5256, that added together give a square (11664 = 1082).

The spelling of 64085256 in words is "sixty-four million, eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 98897 197794 296691 395588 593382 791176 890073 1186764 1780146 2373528 2670219 3560292 5340438 7120584 8010657 10680876 16021314 21361752 32042628 64085256