50541200 has 60 divisors (see below), whose sum is σ = 125641140. Its totient is φ = 19514880.

The previous prime is 50541163. The next prime is 50541217. The reversal of 50541200 is 214505.

It can be written as a sum of positive squares in 6 ways, for example, as 3041536 + 47499664 = 1744^2 + 6892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9422 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (2094019).

Almost surely, 2^50541200 is an apocalyptic number.

50541200 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 50541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62820570).

50541200 is an abundant number, since it is smaller than the sum of its proper divisors (75099940).

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

50541200 is a wasteful number, since it uses less digits than its factorization.

50541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 50541200 is about 7109.2334326564. The cubic root of 50541200 is about 369.7275813123.

Adding to 50541200 its reverse (214505), we get a palindrome (50755705).

The spelling of 50541200 in words is "fifty million, five hundred forty-one thousand, two hundred".