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10282048 = 26759389
BaseRepresentation
bin100111001110…
…010001000000
3201100101022121
4213032101000
510113011143
61004214024
7153252550
oct47162100
921311277
1010282048
115893067
12353a314
13219006a
141519160
15d817ed
hex9ce440

10282048 has 56 divisors (see below), whose sum is σ = 23774400. Its totient is φ = 4320768.

The previous prime is 10282039. The next prime is 10282073. The reversal of 10282048 is 84028201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×102820482 = 211441022148608, which contains 22 as substring.

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, 26238 + ... + 26626.

Almost surely, 210282048 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 10282048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887200).

10282048 is an abundant number, since it is smaller than the sum of its proper divisors (13492352).

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

10282048 is an equidigital number, since it uses as much as digits as its factorization.

10282048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10282048 is about 3206.5632692963. The cubic root of 10282048 is about 217.4502321503.

The spelling of 10282048 in words is "ten million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 389 413 448 472 778 826 944 1556 1652 1888 2723 3112 3304 3776 5446 6224 6608 10892 12448 13216 21784 22951 24896 26432 43568 45902 87136 91804 160657 174272 183608 321314 367216 642628 734432 1285256 1468864 2570512 5141024 10282048