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12438936 = 2332315573
BaseRepresentation
bin101111011100…
…110110011000
3212101222000100
4233130312120
511141021221
61122335400
7210505056
oct57346630
925358010
1012438936
117026614
1241ba560
132766a23
14191b1d6
15115a926
hexbdcd98

12438936 has 48 divisors (see below), whose sum is σ = 34781760. Its totient is φ = 4011840.

The previous prime is 12438931. The next prime is 12438947. The reversal of 12438936 is 63983421.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12438936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (724620).

Almost surely, 212438936 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 12438936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390880).

12438936 is an abundant number, since it is smaller than the sum of its proper divisors (22342824).

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

12438936 is a wasteful number, since it uses less digits than its factorization.

12438936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5609 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12438936 is about 3526.8875797224. The cubic root of 12438936 is about 231.7009126492.

It can be divided in two parts, 124 and 38936, that added together give a triangular number (39060 = T279).

The spelling of 12438936 in words is "twelve million, four hundred thirty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5573 11146 16719 22292 33438 44584 50157 66876 100314 133752 172763 200628 345526 401256 518289 691052 1036578 1382104 1554867 2073156 3109734 4146312 6219468 12438936