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12249424 = 241179881
BaseRepresentation
bin101110101110…
…100101010000
3212001100001101
4232232211100
511113440144
61114314144
7206055415
oct56564520
925040041
1012249424
116a071a0
124128954
1326cb6a5
1418ac10c
15111e6d4
hexbae950

12249424 has 40 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 5491200.

The previous prime is 12249407. The next prime is 12249427. The reversal of 12249424 is 42494221.

12249424 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 = 12249392 and 12249401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12249427) 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, 13464 + ... + 14344.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 212249424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12249424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

12249424 is an abundant number, since it is smaller than the sum of its proper divisors (13998896).

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

12249424 is a wasteful number, since it uses less digits than its factorization.

12249424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 12249424 is about 3499.9177133184. The cubic root of 12249424 is about 230.5182014697.

It can be divided in two parts, 1224 and 9424, that added together give a cube (10648 = 223).

The spelling of 12249424 in words is "twelve million, two hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 881 1264 1738 1762 3476 3524 6952 7048 9691 13904 14096 19382 38764 69599 77528 139198 155056 278396 556792 765589 1113584 1531178 3062356 6124712 12249424