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256354241 = 11132373727
BaseRepresentation
bin11110100011110…
…10011111000001
3122212101010220112
433101322133001
51011111313431
641234321105
76231655313
oct1721723701
9585333815
10256354241
11121783810
1271a29195
1341158a00
14260917b3
151778bc2b
hexf47a7c1

256354241 has 24 divisors (see below), whose sum is σ = 311094144. Its totient is φ = 209252160.

The previous prime is 256354223. The next prime is 256354291. The reversal of 256354241 is 142453652.

It is not a de Polignac number, because 256354241 - 222 = 252159937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256354198 and 256354207.

It is not an unprimeable number, because it can be changed into a prime (256354201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66920 + ... + 70646.

It is an arithmetic number, because the mean of its divisors is an integer number (12962256).

Almost surely, 2256354241 is an apocalyptic number.

It is an amenable number.

256354241 is a deficient number, since it is larger than the sum of its proper divisors (54739903).

256354241 is a wasteful number, since it uses less digits than its factorization.

256354241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3788 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 256354241 is about 16011.0662043475. The cubic root of 256354241 is about 635.2531621223.

The spelling of 256354241 in words is "two hundred fifty-six million, three hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 11 13 37 143 169 407 481 1859 3727 5291 6253 40997 48451 68783 137899 532961 629863 1516889 1792687 6928493 19719557 23304931 256354241