50592 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 15360.

The previous prime is 50591. The next prime is 50593. The reversal of 50592 is 29505.

It is an interprime number because it is at equal distance from previous prime (50591) and next prime (50593).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50592.

It is not an unprimeable number, because it can be changed into a prime (50591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵⁰⁵⁹² 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 50592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

50592 is an abundant number, since it is smaller than the sum of its proper divisors (94560).

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

50592 is a wasteful number, since it uses less digits than its factorization.

50592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 50592 is about 224.9266547122. The cubic root of 50592 is about 36.9851413433.

The spelling of 50592 in words is "fifty thousand, five hundred ninety-two".