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12875744 = 257471223
BaseRepresentation
bin110001000111…
…011111100000
3220020011012102
4301013133200
511244010434
61135545532
7214304420
oct61073740
926204172
1012875744
1172a4812
12438b2a8
13288a7ab
1419d2480
1511e507e
hexc477e0

12875744 has 48 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 5396352.

The previous prime is 12875689. The next prime is 12875761. The reversal of 12875744 is 44757821.

12875744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12875698 and 12875707.

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, 9917 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 212875744 is an apocalyptic number.

12875744 is a gapful number since it is divisible by the number (14) 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 12875744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504).

12875744 is an abundant number, since it is smaller than the sum of its proper divisors (16735264).

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

12875744 is a wasteful number, since it uses less digits than its factorization.

12875744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1279 counting only the distinct ones).

The product of its digits is 62720, while the sum is 38.

The square root of 12875744 is about 3588.2786959767. The cubic root of 12875744 is about 234.3819219052.

The spelling of 12875744 in words is "twelve million, eight hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1223 1316 1504 2446 2632 4892 5264 8561 9784 10528 17122 19568 34244 39136 57481 68488 114962 136976 229924 273952 402367 459848 804734 919696 1609468 1839392 3218936 6437872 12875744