51833200 has 60 divisors (see below), whose sum is σ = 125860248. Its totient is φ = 20512000.

The previous prime is 51833161. The next prime is 51833207. The reversal of 51833200 is 233815.

51833200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51833207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39759 + ... + 41041.

Almost surely, 2^51833200 is an apocalyptic number.

51833200 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 51833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62930124).

51833200 is an abundant number, since it is smaller than the sum of its proper divisors (74027048).

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

51833200 is a wasteful number, since it uses less digits than its factorization.

51833200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 51833200 is about 7199.5277622911. The cubic root of 51833200 is about 372.8515966211.

The spelling of 51833200 in words is "fifty-one million, eight hundred thirty-three thousand, two hundred".