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10828896 = 253138677
BaseRepresentation
bin101001010011…
…110001100000
3202101011110020
4221103301200
510233011041
61024033440
7161021061
oct51236140
922334406
1010828896
116126a01
123762880
132321c40
14161c568
15e3d866
hexa53c60

10828896 has 48 divisors (see below), whose sum is σ = 30615984. Its totient is φ = 3331584.

The previous prime is 10828871. The next prime is 10828921. The reversal of 10828896 is 69882801.

It is an interprime number because it is at equal distance from previous prime (10828871) and next prime (10828921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 3091 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (637833).

Almost surely, 210828896 is an apocalyptic number.

10828896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10828896 is an abundant number, since it is smaller than the sum of its proper divisors (19787088).

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

10828896 is a wasteful number, since it uses less digits than its factorization.

10828896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 10828896 is about 3290.7287946593. The cubic root of 10828896 is about 221.2388509815.

The spelling of 10828896 in words is "ten million, eight hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8677 17354 26031 34708 52062 69416 104124 112801 138832 208248 225602 277664 338403 416496 451204 676806 832992 902408 1353612 1804816 2707224 3609632 5414448 10828896