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29844 = 2232829

29844 has 18 divisors (see below), whose sum is σ = 75530. Its totient is φ = 9936.

The previous prime is 29837. The next prime is 29851. The reversal of 29844 is 44892.

It is an interprime number because it is at equal distance from previous prime (29837) and next prime (29851).

It can be written as a sum of positive squares in only one way, i.e., 26244 + 3600 = 162^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29844.

It is an unprimeable number.

29844 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 5 ways as a sum of consecutive naturals, for example, 379 + ... + 450.

229844 is an apocalyptic number.

It is an amenable number.

29844 is an abundant number, since it is smaller than the sum of its proper divisors (45686).

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

29844 is a wasteful number, since it uses less digits than its factorization.

29844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 834 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 29844 is about 172.7541605867. The cubic root of 29844 is about 31.0183727371.

The spelling of 29844 in words is "twenty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 829 1658 2487 3316 4974 7461 9948 14922 29844