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256501460 = 2256722857
BaseRepresentation
bin11110100100111…
…10011011010100
3122212122121212002
433102132123110
51011131021320
641241414432
76233140445
oct1722363324
9585577762
10256501460
11121874386
1271a9a418
13411aaa17
14260cd2cc
15177ba675
hexf49e6d4

256501460 has 36 divisors (see below), whose sum is σ = 547004052. Its totient is φ = 101033856.

The previous prime is 256501447. The next prime is 256501477. The reversal of 256501460 is 64105652.

It can be written as a sum of positive squares in 2 ways, for example, as 132802576 + 123698884 = 11524^2 + 11122^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88352 + ... + 91208.

It is an arithmetic number, because the mean of its divisors is an integer number (15194557).

Almost surely, 2256501460 is an apocalyptic number.

256501460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256501460 is an abundant number, since it is smaller than the sum of its proper divisors (290502592).

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

256501460 is a wasteful number, since it uses less digits than its factorization.

256501460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 256501460 is about 16015.6629584916. The cubic root of 256501460 is about 635.3747431530.

The spelling of 256501460 in words is "two hundred fifty-six million, five hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 2857 4489 5714 8978 11428 14285 17956 22445 28570 44890 57140 89780 191419 382838 765676 957095 1914190 3828380 12825073 25650146 51300292 64125365 128250730 256501460