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9844 = 2223107
BaseRepresentation
bin10011001110100
3111111121
42121310
5303334
6113324
740462
oct23164
914447
109844
11743a
125844
134633
143832
152db4
hex2674

9844 has 12 divisors (see below), whose sum is σ = 18144. Its totient is φ = 4664.

The previous prime is 9839. The next prime is 9851. The reversal of 9844 is 4489.

9844 = T17 + T18 + ... + T39.

9844 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.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

9844 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

29844 is an apocalyptic number.

It is an amenable number.

9844 is a deficient number, since it is larger than the sum of its proper divisors (8300).

9844 is a wasteful number, since it uses less digits than its factorization.

9844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 9844 is about 99.2169340385. The cubic root of 9844 is about 21.4317286353.

The spelling of 9844 in words is "nine thousand, eight hundred forty-four".

Divisors: 1 2 4 23 46 92 107 214 428 2461 4922 9844