50544 has 60 divisors (see below), whose sum is σ = 157976. Its totient is φ = 15552.

The previous prime is 50543. The next prime is 50549. The reversal of 50544 is 44505.

It is a happy number.

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

It is a nialpdrome in base 9 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50543) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3882 + ... + 3894.

2⁵⁰⁵⁴⁴ is an apocalyptic number.

50544 is a gapful number since it is divisible by the number (54) 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 50544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988).

50544 is an abundant number, since it is smaller than the sum of its proper divisors (107432).

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

50544 is a wasteful number, since it uses less digits than its factorization.

50544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 50544 is about 224.8199279423. The cubic root of 50544 is about 36.9734408865.

The spelling of 50544 in words is "fifty thousand, five hundred forty-four".