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9944 = 2311113
BaseRepresentation
bin10011011011000
3111122022
42123120
5304234
6114012
740664
oct23330
914568
109944
117520
125908
1346ac
1438a4
152e2e
hex26d8

9944 has 16 divisors (see below), whose sum is σ = 20520. Its totient is φ = 4480.

The previous prime is 9941. The next prime is 9949. The reversal of 9944 is 4499.

9944 = 172 + 182 + ... + 322.

9944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9944 is an undulating number in base 15.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 10 and base 11.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 144.

29944 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 9944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260).

9944 is an abundant number, since it is smaller than the sum of its proper divisors (10576).

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

9944 is a wasteful number, since it uses less digits than its factorization.

9944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 9944 is about 99.7196068985. The cubic root of 9944 is about 21.5040554816.

Subtracting from 9944 its reverse (4499), we obtain a palindrome (5445).

It can be divided in two parts, 99 and 44, that multiplied together give a square (4356 = 662).

The spelling of 9944 in words is "nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 113 226 452 904 1243 2486 4972 9944