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256404652 = 22724131907
BaseRepresentation
bin11110100100001…
…10110010101100
3122212110201001121
433102012302230
51011114422102
641235350324
76232255300
oct1722066254
9585421047
10256404652
11121808679
1271a523a4
134117593a
14260a5d00
151779bb37
hexf486cac

256404652 has 36 divisors (see below), whose sum is σ = 534714264. Its totient is φ = 107204160.

The previous prime is 256404647. The next prime is 256404653.

256404652 is nontrivially palindromic in base 10.

256404652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2564046522 = 131486691134482208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (256404653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7918 + ... + 23989.

It is an arithmetic number, because the mean of its divisors is an integer number (14853174).

Almost surely, 2256404652 is an apocalyptic number.

It is an amenable number.

256404652 is an abundant number, since it is smaller than the sum of its proper divisors (278309612).

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

256404652 is a wasteful number, since it uses less digits than its factorization.

256404652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31966 (or 31957 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 256404652 is about 16012.6403818983. The cubic root of 256404652 is about 635.2947993611.

The spelling of 256404652 in words is "two hundred fifty-six million, four hundred four thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 2009 4018 8036 31907 63814 127628 223349 446698 893396 1308187 1563443 2616374 3126886 5232748 6253772 9157309 18314618 36629236 64101163 128202326 256404652