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12933844 = 227311857
BaseRepresentation
bin110001010101…
…101011010100
3220100002220021
4301111223110
511302340334
61141114524
7214636000
oct61255324
926302807
1012933844
117334430
1243b8a44
1328ab081
141a09700
1512073b4
hexc55ad4

12933844 has 48 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 5033280.

The previous prime is 12933829. The next prime is 12933847. The reversal of 12933844 is 44833921.

12933844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14664 + ... + 15520.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 212933844 is an apocalyptic number.

12933844 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 12933844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

12933844 is an abundant number, since it is smaller than the sum of its proper divisors (15894956).

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

12933844 is a wasteful number, since it uses less digits than its factorization.

12933844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 12933844 is about 3596.3653874433. The cubic root of 12933844 is about 234.7339315538.

The spelling of 12933844 in words is "twelve million, nine hundred thirty-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 686 857 1078 1372 1714 2156 3428 3773 5999 7546 9427 11998 15092 18854 23996 37708 41993 65989 83986 131978 167972 263956 293951 461923 587902 923846 1175804 1847692 3233461 6466922 12933844