50983200 has 216 divisors, whose sum is σ = 184121028. Its totient is φ = 13271040.

The previous prime is 50983199. The next prime is 50983211. The reversal of 50983200 is 238905.

It can be written as a sum of positive squares in 6 ways, for example, as 18766224 + 32216976 = 4332^2 + 5676^2 .

It is a super-3 number, since 3×50983200³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525552 + ... + 525648.

Almost surely, 2^50983200 is an apocalyptic number.

50983200 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 50983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92060514).

50983200 is an abundant number, since it is smaller than the sum of its proper divisors (133137828).

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

50983200 is a wasteful number, since it uses less digits than its factorization.

50983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 50983200 is about 7140.2520963899. The cubic root of 50983200 is about 370.8022524414.

The spelling of 50983200 in words is "fifty million, nine hundred eighty-three thousand, two hundred".