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12864748 = 22131929449
BaseRepresentation
bin110001000100…
…110011101100
3220012121010011
4301010303230
511243132443
61135423004
7214230361
oct61046354
926177104
1012864748
117297526
124384a64
1328857a0
1419cc468
1511e1b9d
hexc44cec

12864748 has 48 divisors (see below), whose sum is σ = 26460000. Its totient is φ = 5419008.

The previous prime is 12864739. The next prime is 12864749. The reversal of 12864748 is 84746821.

It is a super-2 number, since 2×128647482 = 331003482207008, which contains 22 as substring.

Its product of digits (86016) is a multiple of the sum of its prime divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 12864748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12864749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28428 + ... + 28876.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 212864748 is an apocalyptic number.

It is an amenable number.

12864748 is an abundant number, since it is smaller than the sum of its proper divisors (13595252).

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

12864748 is a wasteful number, since it uses less digits than its factorization.

12864748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 12864748 is about 3586.7461577313. The cubic root of 12864748 is about 234.3151814867.

The spelling of 12864748 in words is "twelve million, eight hundred sixty-four thousand, seven hundred forty-eight".

Divisors: 1 2 4 13 19 26 29 38 52 58 76 116 247 377 449 494 551 754 898 988 1102 1508 1796 2204 5837 7163 8531 11674 13021 14326 17062 23348 26042 28652 34124 52084 110903 169273 221806 247399 338546 443612 494798 677092 989596 3216187 6432374 12864748