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6728256 = 263211681
BaseRepresentation
bin11001101010101001000000
3110122211102200
4121222221000
53210301011
6400113200
7111121623
oct31525100
913584380
106728256
113886047
122305800
131517622
14c71dba
158cd856
hex66aa40

6728256 has 42 divisors (see below), whose sum is σ = 19286982. Its totient is φ = 2242560.

The previous prime is 6728251. The next prime is 6728257. The reversal of 6728256 is 6528276.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 968256 = 2400^2 + 984^2 .

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 6728256.

It is not an unprimeable number, because it can be changed into a prime (6728251) 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, 5265 + ... + 6416.

Almost surely, 26728256 is an apocalyptic number.

It is an amenable number.

6728256 is an abundant number, since it is smaller than the sum of its proper divisors (12558726).

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

6728256 is a wasteful number, since it uses less digits than its factorization.

6728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11699 (or 11686 counting only the distinct ones).

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

The square root of 6728256 is about 2593.8882011374. Note that the first 3 decimals coincide. The cubic root of 6728256 is about 188.7850079066.

The spelling of 6728256 in words is "six million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 11681 23362 35043 46724 70086 93448 105129 140172 186896 210258 280344 373792 420516 560688 747584 841032 1121376 1682064 2242752 3364128 6728256