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256144460 = 225111389561
BaseRepresentation
bin11110100010001…
…11010001001100
3122211222111010212
433101013101030
51011033110320
641230021552
76230122565
oct1721072114
9584874125
10256144460
11121650140
12719478b8
13410b4390
142603916c
15177499c5
hexf44744c

256144460 has 48 divisors (see below), whose sum is σ = 631949472. Its totient is φ = 85977600.

The previous prime is 256144459. The next prime is 256144463. The reversal of 256144460 is 64441652.

It is not an unprimeable number, because it can be changed into a prime (256144463) 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, 41921 + ... + 47640.

It is an arithmetic number, because the mean of its divisors is an integer number (13165614).

Almost surely, 2256144460 is an apocalyptic number.

256144460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256144460 is an abundant number, since it is smaller than the sum of its proper divisors (375805012).

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

256144460 is a wasteful number, since it uses less digits than its factorization.

256144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89594 (or 89592 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 256144460 is about 16004.5137383177. The cubic root of 256144460 is about 635.0798337224.

The spelling of 256144460 in words is "two hundred fifty-six million, one hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 89561 179122 358244 447805 895610 985171 1164293 1791220 1970342 2328586 3940684 4657172 4925855 5821465 9851710 11642930 12807223 19703420 23285860 25614446 51228892 64036115 128072230 256144460