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8256672 = 253228669
BaseRepresentation
bin11111011111110010100000
3120112111000200
4133133302200
54103203142
6452545200
7130115634
oct37376240
916474020
108256672
11472a3a6
122922200
131931208
14114cdc4
15ad164c
hex7dfca0

8256672 has 36 divisors (see below), whose sum is σ = 23480730. Its totient is φ = 2752128.

The previous prime is 8256653. The next prime is 8256673. The reversal of 8256672 is 2766528.

8256672 is digitally balanced in base 5, 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., 5934096 + 2322576 = 2436^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (8256673) 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, 14047 + ... + 14622.

Almost surely, 28256672 is an apocalyptic number.

It is an amenable number.

8256672 is an abundant number, since it is smaller than the sum of its proper divisors (15224058).

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

8256672 is a wasteful number, since it uses less digits than its factorization.

8256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28685 (or 28674 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8256672 is about 2873.4425346612. The cubic root of 8256672 is about 202.1164573706.

The spelling of 8256672 in words is "eight million, two hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28669 57338 86007 114676 172014 229352 258021 344028 458704 516042 688056 917408 1032084 1376112 2064168 2752224 4128336 8256672