44124192 has 144 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 12289536.

The previous prime is 44124187. The next prime is 44124209. The reversal of 44124192 is 29142144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 86434 + ... + 86942.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^44124192 is an apocalyptic number.

44124192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44124192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

44124192 is an abundant number, since it is smaller than the sum of its proper divisors (102902688).

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

44124192 is a wasteful number, since it uses less digits than its factorization.

44124192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

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

The square root of 44124192 is about 6642.6043085525. The cubic root of 44124192 is about 353.3666738050.

The spelling of 44124192 in words is "forty-four million, one hundred twenty-four thousand, one hundred ninety-two".