50901200 has 150 divisors (see below), whose sum is σ = 145355094. Its totient is φ = 17122560.

The previous prime is 50901187. The next prime is 50901211. The reversal of 50901200 is 210905.

It can be written as a sum of positive squares in 3 ways, for example, as 6492304 + 44408896 = 2548^2 + 6664^2 .

It is a super-2 number, since 2×50901200² = 5181864322880000, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 960374 + ... + 960426.

Almost surely, 2^50901200 is an apocalyptic number.

50901200 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 50901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72677547).

50901200 is an abundant number, since it is smaller than the sum of its proper divisors (94453894).

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

50901200 is an equidigital number, since it uses as much as digits as its factorization.

50901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 50901200 is about 7134.5076914949. The cubic root of 50901200 is about 370.6033496619.

The spelling of 50901200 in words is "fifty million, nine hundred one thousand, two hundred".