51387200 has 42 divisors (see below), whose sum is σ = 126448566. Its totient is φ = 20554240.

The previous prime is 51387179. The next prime is 51387233. The reversal of 51387200 is 278315.

It can be written as a sum of positive squares in 3 ways, for example, as 350464 + 51036736 = 592^2 + 7144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51387200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14459 + ... + 17658.

Almost surely, 2^51387200 is an apocalyptic number.

51387200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51387200 is an abundant number, since it is smaller than the sum of its proper divisors (75061366).

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

51387200 is a wasteful number, since it uses less digits than its factorization.

51387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32139 (or 32124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 51387200 is about 7168.4865906271. The cubic root of 51387200 is about 371.7791111666.

The spelling of 51387200 in words is "fifty-one million, three hundred eighty-seven thousand, two hundred".