Base | Representation |
---|---|
bin | 101111011110… |
… | …001000100000 |
3 | 212102020020000 |
4 | 233132020200 |
5 | 11141203232 |
6 | 1122420000 |
7 | 210526305 |
oct | 57361040 |
9 | 25366200 |
10 | 12444192 |
11 | 702a562 |
12 | 4201600 |
13 | 2769237 |
14 | 191d0ac |
15 | 115c27c |
hex | bde220 |
12444192 has 60 divisors (see below), whose sum is σ = 36605646. Its totient is φ = 4147200.
The previous prime is 12444181. The next prime is 12444193. The reversal of 12444192 is 29144421.
It is a happy number.
12444192 is a `hidden beast` number, since 1 + 244 + 419 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 10265616 + 2178576 = 3204^2 + 1476^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (12444193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 192 + ... + 4992.
Almost surely, 212444192 is an apocalyptic number.
12444192 is a gapful number since it is divisible by the number (12) 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 12444192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302823).
12444192 is an abundant number, since it is smaller than the sum of its proper divisors (24161454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12444192 is an equidigital number, since it uses as much as digits as its factorization.
12444192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4823 (or 4806 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 12444192 is about 3527.6326339345. The cubic root of 12444192 is about 231.7335426778.
It can be divided in two parts, 1244419 and 2, that added together give a palindrome (1244421).
The spelling of 12444192 in words is "twelve million, four hundred forty-four thousand, one hundred ninety-two".
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