| Base | Representation |
|---|---|
| bin | 101111011110… |
| … | …010001100000 |
| 3 | 212102021000100 |
| 4 | 233132101200 |
| 5 | 11141213033 |
| 6 | 1122422400 |
| 7 | 210531060 |
| oct | 57362140 |
| 9 | 25367010 |
| 10 | 12444768 |
| 11 | 702aa36 |
| 12 | 4201a00 |
| 13 | 276958b |
| 14 | 191d3a0 |
| 15 | 115c513 |
| hex | bde460 |
12444768 has 72 divisors (see below), whose sum is σ = 40452048. Its totient is φ = 3555072.
The previous prime is 12444767. The next prime is 12444787. The reversal of 12444768 is 86744421.
12444768 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
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.
12444768 is strictly pandigital in base 8.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12444767) 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, 1071 + ... + 5102.
It is an arithmetic number, because the mean of its divisors is an integer number (561834).
Almost surely, 212444768 is an apocalyptic number.
12444768 is a gapful number since it is divisible by the number (18) 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 12444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226024).
12444768 is an abundant number, since it is smaller than the sum of its proper divisors (28007280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12444768 is a wasteful number, since it uses less digits than its factorization.
12444768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6196 (or 6185 counting only the distinct ones).
The product of its digits is 43008, while the sum is 36.
The square root of 12444768 is about 3527.7142741441. The cubic root of 12444768 is about 231.7371180126.
The spelling of 12444768 in words is "twelve million, four hundred forty-four thousand, seven hundred sixty-eight".
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