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256841648 = 2477132299
BaseRepresentation
bin11110100111100…
…01011110110000
3122220021220111122
433103301132300
51011222413043
641253001412
76236055320
oct1723613660
9586256448
10256841648
11121a86a28
1272023268
134129980b
142617b280
1517836368
hexf4f17b0

256841648 has 40 divisors (see below), whose sum is σ = 576748800. Its totient is φ = 108521280.

The previous prime is 256841633. The next prime is 256841743. The reversal of 256841648 is 846148652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 256841599 and 256841608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8198 + ... + 24101.

It is an arithmetic number, because the mean of its divisors is an integer number (14418720).

Almost surely, 2256841648 is an apocalyptic number.

256841648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256841648 is an abundant number, since it is smaller than the sum of its proper divisors (319907152).

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

256841648 is a wasteful number, since it uses less digits than its factorization.

256841648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32385 (or 32379 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 256841648 is about 16026.2799176852. The cubic root of 256841648 is about 635.6555100769.

The spelling of 256841648 in words is "two hundred fifty-six million, eight hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 32299 64598 129196 226093 258392 452186 516784 904372 1808744 2293229 3617488 4586458 9172916 16052603 18345832 32105206 36691664 64210412 128420824 256841648