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256141432 = 231923411787
BaseRepresentation
bin11110100010001…
…10100001111000
3122211222022222201
433101012201320
51011033011212
641225555544
76230111011
oct1721064170
9584868881
10256141432
11121648938
1271945bb4
13410b2ba1
1426038008
1517748b57
hexf446878

256141432 has 64 divisors (see below), whose sum is σ = 540691200. Its totient is φ = 113160960.

The previous prime is 256141429. The next prime is 256141433. The reversal of 256141432 is 234141652.

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

It is a self number, because there is not a number n which added to its sum of digits gives 256141432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256141433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 142443 + ... + 144229.

It is an arithmetic number, because the mean of its divisors is an integer number (8448300).

Almost surely, 2256141432 is an apocalyptic number.

It is an amenable number.

256141432 is an abundant number, since it is smaller than the sum of its proper divisors (284549768).

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

256141432 is a wasteful number, since it uses less digits than its factorization.

256141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1872 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 256141432 is about 16004.4191397251. The cubic root of 256141432 is about 635.0773311901.

The spelling of 256141432 in words is "two hundred fifty-six million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 23 38 41 46 76 82 92 152 164 184 328 437 779 874 943 1558 1748 1787 1886 3116 3496 3574 3772 6232 7148 7544 14296 17917 33953 35834 41101 67906 71668 73267 82202 135812 143336 146534 164404 271624 293068 328808 586136 780919 1392073 1561838 1685141 2784146 3123676 3370282 5568292 6247352 6740564 11136584 13481128 32017679 64035358 128070716 256141432