51493800 has 96 divisors (see below), whose sum is σ = 168069600. Its totient is φ = 13006080.

The previous prime is 51493789. The next prime is 51493807. The reversal of 51493800 is 839415.

51493800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51493800² = 5303222876880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51493807) 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 23 ways as a sum of consecutive naturals, for example, 9142 + ... + 13658.

It is an arithmetic number, because the mean of its divisors is an integer number (1750725).

Almost surely, 2^51493800 is an apocalyptic number.

51493800 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 51493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84034800).

51493800 is an abundant number, since it is smaller than the sum of its proper divisors (116575800).

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

51493800 is a wasteful number, since it uses less digits than its factorization.

51493800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51493800 is about 7175.9180597328. The cubic root of 51493800 is about 372.0360122380.

The spelling of 51493800 in words is "fifty-one million, four hundred ninety-three thousand, eight hundred".