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256352424 = 23386312377
BaseRepresentation
bin11110100011110…
…10000010101000
3122212101001102020
433101322002220
51011111234144
641234304440
76231650106
oct1721720250
9585331366
10256352424
11121782409
1271a28120
1341157c33
1426090c76
151778b419
hexf47a0a8

256352424 has 32 divisors (see below), whose sum is σ = 641675520. Its totient is φ = 85344896.

The previous prime is 256352407. The next prime is 256352461. The reversal of 256352424 is 424253652.

It is a happy number.

256352424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 14524 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (20052360).

Almost surely, 2256352424 is an apocalyptic number.

256352424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256352424 is an abundant number, since it is smaller than the sum of its proper divisors (385323096).

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

256352424 is a wasteful number, since it uses less digits than its factorization.

256352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249 (or 13245 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 256352424 is about 16011.0094622419. The cubic root of 256352424 is about 635.2516612594.

The spelling of 256352424 in words is "two hundred fifty-six million, three hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 863 1726 2589 3452 5178 6904 10356 12377 20712 24754 37131 49508 74262 99016 148524 297048 10681351 21362702 32044053 42725404 64088106 85450808 128176212 256352424