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12883296 = 253672003
BaseRepresentation
bin110001001001…
…010101100000
3220020112120010
4301021111200
511244231141
61140044520
7214335426
oct61112540
926215503
1012883296
1172aa458
124393740
13289106a
1419d5116
1511e7416
hexc49560

12883296 has 48 divisors (see below), whose sum is σ = 34340544. Its totient is φ = 4228224.

The previous prime is 12883267. The next prime is 12883301. The reversal of 12883296 is 69238821.

It is a happy number.

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, 5431 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (715428).

Almost surely, 212883296 is an apocalyptic number.

12883296 is a gapful number since it is divisible by the number (16) 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 12883296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170272).

12883296 is an abundant number, since it is smaller than the sum of its proper divisors (21457248).

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

12883296 is a wasteful number, since it uses less digits than its factorization.

12883296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 12883296 is about 3589.3308568590. The cubic root of 12883296 is about 234.4277368972.

The spelling of 12883296 in words is "twelve million, eight hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2003 2144 3216 4006 6009 6432 8012 12018 16024 24036 32048 48072 64096 96144 134201 192288 268402 402603 536804 805206 1073608 1610412 2147216 3220824 4294432 6441648 12883296