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7268256 = 253225237
BaseRepresentation
bin11011101110011110100000
3111200021011200
4123232132200
53330041011
6415441200
7115531152
oct33563640
914607150
107268256
114114826
122526200
131676358
14d72ad2
15988856
hex6ee7a0

7268256 has 36 divisors (see below), whose sum is σ = 20669922. Its totient is φ = 2422656.

The previous prime is 7268213. The next prime is 7268267. The reversal of 7268256 is 6528627.

It can be written as a sum of positive squares in only one way, i.e., 5363856 + 1904400 = 2316^2 + 1380^2 .

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

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 7268256.

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 5 ways as a sum of consecutive naturals, for example, 12331 + ... + 12906.

Almost surely, 27268256 is an apocalyptic number.

It is an amenable number.

7268256 is an abundant number, since it is smaller than the sum of its proper divisors (13401666).

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

7268256 is a wasteful number, since it uses less digits than its factorization.

7268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25253 (or 25242 counting only the distinct ones).

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

The square root of 7268256 is about 2695.9703262462. The cubic root of 7268256 is about 193.7061481055.

The spelling of 7268256 in words is "seven million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 25237 50474 75711 100948 151422 201896 227133 302844 403792 454266 605688 807584 908532 1211376 1817064 2422752 3634128 7268256