Base | Representation |
---|---|
bin | 101111011111… |
… | …001100000000 |
3 | 212102110011000 |
4 | 233133030000 |
5 | 11141323022 |
6 | 1122452000 |
7 | 210545016 |
oct | 57371400 |
9 | 25373130 |
10 | 12448512 |
11 | 703282a |
12 | 4204000 |
13 | 276b1ab |
14 | 19208b6 |
15 | 115d6ac |
hex | bdf300 |
12448512 has 72 divisors (see below), whose sum is σ = 36832880. Its totient is φ = 4147200.
The previous prime is 12448463. The next prime is 12448517. The reversal of 12448512 is 21584421.
12448512 is digitally balanced in base 2, because in such base 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 (27).
It is not an unprimeable number, because it can be changed into a prime (12448517) 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, 6012 + ... + 7812.
Almost surely, 212448512 is an apocalyptic number.
12448512 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 12448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416440).
12448512 is an abundant number, since it is smaller than the sum of its proper divisors (24384368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12448512 is an equidigital number, since it uses as much as digits as its factorization.
12448512 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1826 (or 1806 counting only the distinct ones).
The product of its digits is 2560, while the sum is 27.
The square root of 12448512 is about 3528.2448894599. The cubic root of 12448512 is about 231.7603550007.
The spelling of 12448512 in words is "twelve million, four hundred forty-eight thousand, five hundred twelve".
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