50200 has 24 divisors (see below), whose sum is σ = 117180. Its totient is φ = 20000.

The previous prime is 50177. The next prime is 50207. The reversal of 50200 is 205.

It is a sliding number, since 50200 = 200 + 50000 and 1/200 + 1/50000 = 0.0050200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50207) by changing a digit.

50200 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 325.

2⁵⁰²⁰⁰ is an apocalyptic number.

50200 is a gapful number since it is divisible by the number (50) 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 50200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

50200 is an abundant number, since it is smaller than the sum of its proper divisors (66980).

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

50200 is a wasteful number, since it uses less digits than its factorization.

50200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 50200 is about 224.0535650241. The cubic root of 50200 is about 36.8893700576.

Adding to 50200 its reverse (205), we get a palindrome (50405).

It can be divided in two parts, 50 and 200, that multiplied together give a 4-th power (10000 = 10⁴).

The spelling of 50200 in words is "fifty thousand, two hundred".