51843200 has 96 divisors (see below), whose sum is σ = 135744660. Its totient is φ = 19496960.

The previous prime is 51843151. The next prime is 51843221. The reversal of 51843200 is 234815.

It can be written as a sum of positive squares in 6 ways, for example, as 24049216 + 27793984 = 4904^2 + 5272^2 .

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 11 ways as a sum of consecutive naturals, for example, 53924 + ... + 54876.

Almost surely, 2^51843200 is an apocalyptic number.

51843200 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 51843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67872330).

51843200 is an abundant number, since it is smaller than the sum of its proper divisors (83901460).

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

51843200 is a wasteful number, since it uses less digits than its factorization.

51843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 51843200 is about 7200.2222187930. Note that the first 4 decimals coincide. The cubic root of 51843200 is about 372.8755727356.

The spelling of 51843200 in words is "fifty-one million, eight hundred forty-three thousand, two hundred".