Base | Representation |
---|---|
bin | 100011010110… |
… | …110110011000 |
3 | 122102220011200 |
4 | 203112312120 |
5 | 4333044012 |
6 | 530354200 |
7 | 141532152 |
oct | 43266630 |
9 | 18386150 |
10 | 9268632 |
11 | 526072a |
12 | 312b960 |
13 | 1bc69c9 |
14 | 1333ad2 |
15 | c313dc |
hex | 8d6d98 |
9268632 has 96 divisors (see below), whose sum is σ = 27237600. Its totient is φ = 2838528.
The previous prime is 9268631. The next prime is 9268639. The reversal of 9268632 is 2368629.
9268632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (9268631) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47928 + ... + 48120.
It is an arithmetic number, because the mean of its divisors is an integer number (283725).
Almost surely, 29268632 is an apocalyptic number.
9268632 is a gapful number since it is divisible by the number (92) 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 9268632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618800).
9268632 is an abundant number, since it is smaller than the sum of its proper divisors (17968968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9268632 is a wasteful number, since it uses less digits than its factorization.
9268632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 257 (or 250 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 9268632 is about 3044.4428061634. The cubic root of 9268632 is about 210.0576712354.
The spelling of 9268632 in words is "nine million, two hundred sixty-eight thousand, six hundred thirty-two".
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