50292 has 36 divisors (see below), whose sum is σ = 139776. Its totient is φ = 15120.

The previous prime is 50291. The next prime is 50311. The reversal of 50292 is 29205.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50292.

It is not an unprimeable number, because it can be changed into a prime (50291) 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, 333 + ... + 459.

2⁵⁰²⁹² 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 50292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888).

50292 is an abundant number, since it is smaller than the sum of its proper divisors (89484).

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

50292 is a wasteful number, since it uses less digits than its factorization.

50292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 50292 is about 224.2587790924. The cubic root of 50292 is about 36.9118916440.

Adding to 50292 its reverse (29205), we get a palindrome (79497).

The spelling of 50292 in words is "fifty thousand, two hundred ninety-two".