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256000440 = 23357130047
BaseRepresentation
bin11110100001001…
…00000110111000
3122211201011120210
433100210012320
51011014003230
641222551120
76225652653
oct1720440670
9584634523
10256000440
11121561a13
12718984a0
1341063967
1425ddc89a
151771beb0
hexf4241b8

256000440 has 64 divisors (see below), whose sum is σ = 778844160. Its totient is φ = 67303040.

The previous prime is 256000439. The next prime is 256000463. The reversal of 256000440 is 44000652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6504 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (12169440).

Almost surely, 2256000440 is an apocalyptic number.

256000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256000440 is an abundant number, since it is smaller than the sum of its proper divisors (522843720).

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

256000440 is a wasteful number, since it uses less digits than its factorization.

256000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30132 (or 30128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 256000440 is about 16000.0137499941. The cubic root of 256000440 is about 634.9607845665.

The spelling of 256000440 in words is "two hundred fifty-six million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 30047 60094 90141 120188 150235 180282 240376 300470 360564 450705 600940 721128 901410 1201880 1802820 2133337 3605640 4266674 6400011 8533348 10666685 12800022 17066696 21333370 25600044 32000055 42666740 51200088 64000110 85333480 128000220 256000440