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256909896 = 23323124779
BaseRepresentation
bin11110101000000…
…10001001001000
3122220102101010100
433110002021020
51011232104041
641254245400
76236461305
oct1724021110
9586371110
10256909896
11122023231
1272056860
13412c18b9
14261980ac
151784b6b6
hexf502248

256909896 has 144 divisors (see below), whose sum is σ = 743558400. Its totient is φ = 80084160.

The previous prime is 256909883. The next prime is 256909901. The reversal of 256909896 is 698909652.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3251985 + ... + 3252063.

It is an arithmetic number, because the mean of its divisors is an integer number (5163600).

Almost surely, 2256909896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256909896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371779200).

256909896 is an abundant number, since it is smaller than the sum of its proper divisors (486648504).

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

256909896 is a wasteful number, since it uses less digits than its factorization.

256909896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 256909896 is about 16028.4090289710. The cubic root of 256909896 is about 635.7118072489.

The spelling of 256909896 in words is "two hundred fifty-six million, nine hundred nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 47 62 72 79 93 94 124 141 158 186 188 237 248 279 282 316 372 376 423 474 558 564 632 711 744 846 948 961 1116 1128 1422 1457 1692 1896 1922 2232 2449 2844 2883 2914 3384 3713 3844 4371 4898 5688 5766 5828 7347 7426 7688 8649 8742 9796 11139 11532 11656 13113 14694 14852 17298 17484 19592 22041 22278 23064 26226 29388 29704 33417 34596 34968 44082 44556 45167 52452 58776 66834 69192 75919 88164 89112 90334 104904 115103 133668 135501 151838 176328 180668 227757 230206 267336 271002 303676 345309 361336 406503 455514 460412 542004 607352 683271 690618 813006 911028 920824 1035927 1084008 1366542 1381236 1626012 1822056 2071854 2733084 2762472 3252024 3568193 4143708 5466168 7136386 8287416 10704579 14272772 21409158 28545544 32113737 42818316 64227474 85636632 128454948 256909896