44424 has 24 divisors (see below), whose sum is σ = 120510. Its totient is φ = 14784.

The previous prime is 44417. The next prime is 44449. The reversal of 44424 is 42444.

It is a happy number.

44424 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 324 = 210^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 44397 and 44406.

It is an unprimeable number.

44424 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237 + ... + 380.

2^{44424} is an apocalyptic number.

It is an amenable number.

44424 is an abundant number, since it is smaller than the sum of its proper divisors (76086).

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

44424 is a wasteful number, since it uses less digits than its factorization.

44424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 622 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 44424 is about 210.7700168430. The cubic root of 44424 is about 35.4165201070.

Adding to 44424 its reverse (42444), we get a palindrome (86868).

The spelling of 44424 in words is "forty-four thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 617 1234 1851 2468 3702 4936 5553 7404 11106 14808 22212 44424

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