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8064256 = 28172109
BaseRepresentation
bin11110110000110100000000
3120011201002011
4132300310000
54031024011
6444502304
7125354644
oct36606400
916151064
108064256
114608882
12284a994
131894765
1410dcc24
15a94621
hex7b0d00

8064256 has 54 divisors (see below), whose sum is σ = 17256470. Its totient is φ = 3760128.

The previous prime is 8064223. The next prime is 8064257. The reversal of 8064256 is 6524608.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 4000000 = 2016^2 + 2000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8064257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73930 + ... + 74038.

Almost surely, 28064256 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 8064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628235).

8064256 is an abundant number, since it is smaller than the sum of its proper divisors (9192214).

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

8064256 is a wasteful number, since it uses less digits than its factorization.

8064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 8064256 is about 2839.7633704237. The cubic root of 8064256 is about 200.5340394070.

The spelling of 8064256 in words is "eight million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 128 136 218 256 272 289 436 544 578 872 1088 1156 1744 1853 2176 2312 3488 3706 4352 4624 6976 7412 9248 13952 14824 18496 27904 29648 31501 36992 59296 63002 73984 118592 126004 237184 252008 474368 504016 1008032 2016064 4032128 8064256