50383200 has 144 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 11512320.

The previous prime is 50383199. The next prime is 50383211. The reversal of 50383200 is 238305.

50383200 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15301 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^50383200 is an apocalyptic number.

50383200 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 50383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

50383200 is an abundant number, since it is smaller than the sum of its proper divisors (137104800).

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

50383200 is a wasteful number, since it uses less digits than its factorization.

50383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 50383200 is about 7098.1124251452. The cubic root of 50383200 is about 369.3419029784.

It can be divided in two parts, 50 and 383200, that added together give a triangular number (383250 = T₈₇₅).

The spelling of 50383200 in words is "fifty million, three hundred eighty-three thousand, two hundred".