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12648048 = 243737643
BaseRepresentation
bin110000001111…
…111001110000
3212210120212020
4300033321300
511214214143
61131031440
7212335530
oct60177160
925716766
1012648048
117159736
12429b580
13280ac6a
1419734c0
15119c883
hexc0fe70

12648048 has 40 divisors (see below), whose sum is σ = 37342848. Its totient is φ = 3613632.

The previous prime is 12648047. The next prime is 12648061. The reversal of 12648048 is 84084621.

12648048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18486 + ... + 19157.

Almost surely, 212648048 is an apocalyptic number.

It is an amenable number.

12648048 is an abundant number, since it is smaller than the sum of its proper divisors (24694800).

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

12648048 is a wasteful number, since it uses less digits than its factorization.

12648048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37661 (or 37655 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12648048 is about 3556.4094252490. The cubic root of 12648048 is about 232.9920852979.

The spelling of 12648048 in words is "twelve million, six hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 37643 75286 112929 150572 225858 263501 301144 451716 527002 602288 790503 903432 1054004 1581006 1806864 2108008 3162012 4216016 6324024 12648048