50032 has 20 divisors (see below), whose sum is σ = 100440. Its totient is φ = 24128.

The previous prime is 50023. The next prime is 50033. The reversal of 50032 is 23005.

50032 = T₈ + T₉ + ... + T₆₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50033) by changing a digit.

50032 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 3 ways as a sum of consecutive naturals, for example, 819 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁵⁰⁰³² is an apocalyptic number.

It is an amenable number.

50032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

50032 is a wasteful number, since it uses less digits than its factorization.

50032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 50032 is about 223.6783404803. The cubic root of 50032 is about 36.8481725776.

Adding to 50032 its reverse (23005), we get a palindrome (73037).

It can be divided in two parts, 5003 and 2, that added together give a palindrome (5005).

The spelling of 50032 in words is "fifty thousand, thirty-two", and thus it is an eban number.