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8844 = 2231167
BaseRepresentation
bin10001010001100
3110010120
42022030
5240334
6104540
734533
oct21214
913116
108844
116710
125150
134044
14331a
152949
hex228c

8844 has 24 divisors (see below), whose sum is σ = 22848. Its totient is φ = 2640.

The previous prime is 8839. The next prime is 8849. The reversal of 8844 is 4488.

Subtracting from 8844 its reverse (4488), we obtain a square (4356 = 662).

It can be divided in two parts, 884 and 4, that added together give a palindrome (888).

It is an interprime number because it is at equal distance from previous prime (8839) and next prime (8849).

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8844.

It is not an unprimeable number, because it can be changed into a prime (8849) by changing a digit.

8844 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (952).

28844 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 8844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424).

8844 is an abundant number, since it is smaller than the sum of its proper divisors (14004).

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

8844 is a wasteful number, since it uses less digits than its factorization.

8844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 8844 is about 94.0425435641. The cubic root of 8844 is about 20.6799544562.

The spelling of 8844 in words is "eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844