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9932 = 2213191
BaseRepresentation
bin10011011001100
3111121212
42123030
5304212
6113552
740646
oct23314
914555
109932
11750a
1258b8
1346a0
143896
152e22
hex26cc

9932 has 12 divisors (see below), whose sum is σ = 18816. Its totient is φ = 4560.

The previous prime is 9931. The next prime is 9941. The reversal of 9932 is 2399.

9932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9898 and 9907.

It is not an unprimeable number, because it can be changed into a prime (9931) 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, 44 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

It is an amenable number.

9932 is a deficient number, since it is larger than the sum of its proper divisors (8884).

9932 is a wasteful number, since it uses less digits than its factorization.

9932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its digits is 486, while the sum is 23.

The square root of 9932 is about 99.6594200264. The cubic root of 9932 is about 21.4954019372.

It can be divided in two parts, 99 and 32, that added together give a palindrome (131).

The spelling of 9932 in words is "nine thousand, nine hundred thirty-two".

Divisors: 1 2 4 13 26 52 191 382 764 2483 4966 9932