44144 has 20 divisors (see below), whose sum is σ = 89280. Its totient is φ = 21120.
The previous prime is 44131. The next prime is 44159.
44144 is nontrivially palindromic in base 10.
44144 is an admirable number.
It is a nude number because it is divisible by every one of its digits.
Its product of digits (256) is a multiple of the sum of its prime factors (128).
It is a congruent number.
It is an unprimeable 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, 452 + ... + 540.
It is an arithmetic number, because the mean of its divisors is an integer number (4464).
244144 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 44144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).
44144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44144 is a wasteful number, since it uses less digits than its factorization.
44144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 122 counting only the distinct ones).
The product of its digits is 256, while the sum is 17.
The square root of 44144 is about 210.1047357867. The cubic root of 44144 is about 35.3419543064.
It can be divided in two parts, 44 and 144, that multiplied together give a palindrome (6336).
The spelling of 44144 in words is "forty-four thousand, one hundred forty-four", and thus it is an iban number.
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