44838 has 24 divisors (see below), whose sum is σ = 101088. Its totient is φ = 14352.

The previous prime is 44819. The next prime is 44839. The reversal of 44838 is 83844.

44838 = 27² + 28² + ... + 53².

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a nialpdrome in base 6 and base 15.

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 44838.

It is not an unprimeable number, because it can be changed into a prime (44839) by changing a digit.

44838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (4212).

2⁴⁴⁸³⁸ is an apocalyptic number.

44838 is an abundant number, since it is smaller than the sum of its proper divisors (56250).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544).

44838 is a wasteful number, since it uses less digits than its factorization.

44838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 44838 is about 211.7498524203. The cubic root of 44838 is about 35.5261990033.

The spelling of 44838 in words is "forty-four thousand, eight hundred thirty-eight".