Base | Representation |
---|---|
bin | 100010111010… |
… | …0111101000000 |
3 | 1021102222111202 |
4 | 1011310331000 |
5 | 14141223312 |
6 | 1452200332 |
7 | 311405600 |
oct | 105647500 |
9 | 37388452 |
10 | 18304832 |
11 | a372767 |
12 | 61690a8 |
13 | 3a3b980 |
14 | 2606c00 |
15 | 19189c2 |
hex | 1174f40 |
18304832 has 84 divisors (see below), whose sum is σ = 45605700. Its totient is φ = 7225344.
The previous prime is 18304831. The next prime is 18304837. The reversal of 18304832 is 23840381.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 6635776 + 11669056 = 2576^2 + 3416^2 .
It is a junction number, because it is equal to n+sod(n) for n = 18304795 and 18304804.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18304831) 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 11 ways as a sum of consecutive naturals, for example, 40544 + ... + 40992.
It is an arithmetic number, because the mean of its divisors is an integer number (542925).
Almost surely, 218304832 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802850).
18304832 is an abundant number, since it is smaller than the sum of its proper divisors (27300868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18304832 is a wasteful number, since it uses less digits than its factorization.
18304832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488 (or 471 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 29.
The square root of 18304832 is about 4278.4146596607. The cubic root of 18304832 is about 263.5452839705.
The spelling of 18304832 in words is "eighteen million, three hundred four thousand, eight hundred thirty-two".
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