50047200 has 288 divisors, whose sum is σ = 207486720. Its totient is φ = 11404800.

The previous prime is 50047187. The next prime is 50047213. The reversal of 50047200 is 274005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50047187) and next prime (50047213).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151035 + ... + 151365.

It is an arithmetic number, because the mean of its divisors is an integer number (720440).

Almost surely, 2^50047200 is an apocalyptic number.

50047200 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 50047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103743360).

50047200 is an abundant number, since it is smaller than the sum of its proper divisors (157439520).

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

50047200 is a wasteful number, since it uses less digits than its factorization.

50047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 50047200 is about 7074.4045685838. The cubic root of 50047200 is about 368.5190375968.

The spelling of 50047200 in words is "fifty million, forty-seven thousand, two hundred".