Base | Representation |
---|---|
bin | 110000001111… |
… | …000000000000 |
3 | 212210101210100 |
4 | 300033000000 |
5 | 11214104402 |
6 | 1131002400 |
7 | 212322000 |
oct | 60170000 |
9 | 25711710 |
10 | 12644352 |
11 | 7156986 |
12 | 4299400 |
13 | 2809386 |
14 | 1972000 |
15 | 119b71c |
hex | c0f000 |
12644352 has 156 divisors (see below), whose sum is σ = 42593200. Its totient is φ = 3612672.
The previous prime is 12644341. The next prime is 12644353. The reversal of 12644352 is 25344621.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
12644352 is a `hidden beast` number, since 12 + 644 + 3 + 5 + 2 = 666.
Its product of digits (5760) is a multiple of the sum of its prime divisors (12).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12644353) 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, 1806333 + ... + 1806339.
Almost surely, 212644352 is an apocalyptic number.
12644352 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 12644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296600).
12644352 is an abundant number, since it is smaller than the sum of its proper divisors (29948848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12644352 is an frugal number, since it uses more digits than its factorization.
12644352 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 51 (or 12 counting only the distinct ones).
The product of its digits is 5760, while the sum is 27.
The square root of 12644352 is about 3555.8897620708. The cubic root of 12644352 is about 232.9693881818.
Adding to 12644352 its reverse (25344621), we get a palindrome (37988973).
It can be divided in two parts, 12644 and 352, that added together give a square (12996 = 1142).
The spelling of 12644352 in words is "twelve million, six hundred forty-four thousand, three hundred fifty-two".
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