51393900 has 72 divisors (see below), whose sum is σ = 149754304. Its totient is φ = 13608000.

The previous prime is 51393899. The next prime is 51393911. The reversal of 51393900 is 939315.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48375 + ... + 49425.

Almost surely, 2^51393900 is an apocalyptic number.

51393900 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 51393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74877152).

51393900 is an abundant number, since it is smaller than the sum of its proper divisors (98360404).

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

51393900 is a wasteful number, since it uses less digits than its factorization.

51393900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 51393900 is about 7168.9538985824. The cubic root of 51393900 is about 371.7952683147.

The spelling of 51393900 in words is "fifty-one million, three hundred ninety-three thousand, nine hundred".