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BaseRepresentation
bin100101000000000
3221222122
410220000
51101234
6223412
7106142
oct45000
927878
1018944
1113262
12ab68
138813
146c92
15592e
hex4a00

18944 has 20 divisors (see below), whose sum is σ = 38874. Its totient is φ = 9216.

The previous prime is 18919. The next prime is 18947. The reversal of 18944 is 44981.

18944 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 6400 = 112^2 + 80^2 .

It is not an unprimeable number, because it can be changed into a prime (18947) by changing a digit.

18944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 494 + ... + 530.

218944 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 18944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19437).

18944 is an abundant number, since it is smaller than the sum of its proper divisors (19930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18944 is an frugal number, since it uses more digits than its factorization.

18944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 18944 is about 137.6372042727. The cubic root of 18944 is about 26.6577748132.

The spelling of 18944 in words is "eighteen thousand, nine hundred forty-four".