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256185252 = 223253134269
BaseRepresentation
bin11110100010100…
…01001110100100
3122212001120002200
433101101032210
51011040412002
641230534500
76230352531
oct1721211644
9585046080
10256185252
11121678854
1271967430
13410c9b0b
1426049d88
1517756b1c
hexf4513a4

256185252 has 36 divisors (see below), whose sum is σ = 659802780. Its totient is φ = 83783232.

The previous prime is 256185157. The next prime is 256185263. The reversal of 256185252 is 252581652.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 214505316 + 41679936 = 14646^2 + 6456^2 .

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 an alternating number because its digits alternate between even and odd.

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 11 ways as a sum of consecutive naturals, for example, 65227 + ... + 69042.

It is an arithmetic number, because the mean of its divisors is an integer number (18327855).

Almost surely, 2256185252 is an apocalyptic number.

It is an amenable number.

256185252 is an abundant number, since it is smaller than the sum of its proper divisors (403617528).

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

256185252 is a wasteful number, since it uses less digits than its factorization.

256185252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134332 (or 134327 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 256185252 is about 16005.7880780673. The cubic root of 256185252 is about 635.1135449095.

The spelling of 256185252 in words is "two hundred fifty-six million, one hundred eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 134269 268538 402807 537076 805614 1208421 1611228 2416842 4833684 7116257 14232514 21348771 28465028 42697542 64046313 85395084 128092626 256185252