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9056256 = 21231167
BaseRepresentation
bin100010100011…
…000000000000
3122001002211220
4202203000000
54304300011
6522035040
7136656036
oct42430000
918032756
109056256
115126110
123048a80
131b51141
1412ba556
15bdd506
hex8a3000

9056256 has 104 divisors (see below), whose sum is σ = 26735424. Its totient is φ = 2703360.

The previous prime is 9056237. The next prime is 9056279. The reversal of 9056256 is 6526509.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135135 + ... + 135201.

Almost surely, 29056256 is an apocalyptic number.

9056256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9056256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367712).

9056256 is an abundant number, since it is smaller than the sum of its proper divisors (17679168).

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

9056256 is a wasteful number, since it uses less digits than its factorization.

9056256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 9056256 is about 3009.3613940502. The cubic root of 9056256 is about 208.4408794417.

The spelling of 9056256 in words is "nine million, fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 67 88 96 128 132 134 176 192 201 256 264 268 352 384 402 512 528 536 704 737 768 804 1024 1056 1072 1408 1474 1536 1608 2048 2112 2144 2211 2816 2948 3072 3216 4096 4224 4288 4422 5632 5896 6144 6432 8448 8576 8844 11264 11792 12288 12864 16896 17152 17688 22528 23584 25728 33792 34304 35376 45056 47168 51456 67584 68608 70752 94336 102912 135168 137216 141504 188672 205824 274432 283008 377344 411648 566016 754688 823296 1132032 1509376 2264064 3018752 4528128 9056256