44544 has 40 divisors (see below), whose sum is σ = 122760. Its totient is φ = 14336.

The previous prime is 44543. The next prime is 44549.

Subtracting from 44544 its product of digits (1280), we obtain a square (43264 = 208^{2}).

44544 is nontrivially palindromic in base 10.

It is a plaindrome in base 14.

It is a self number, because there is not a number *n* which added to its sum of digits gives 44544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44543) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1522 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (3069).

2^{44544} 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 44544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380).

44544 is an abundant number, since it is smaller than the sum of its proper divisors (78216).

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

44544 is an equidigital number, since it uses as much as digits as its factorization.

44544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

The product of its digits is 1280, while the sum is 21.

The square root of 44544 is about 211.0544953324. The cubic root of 44544 is about 35.4483809735.

The spelling of 44544 in words is "forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2784 3712 5568 7424 11136 14848 22272 44544

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