51430824 has 48 divisors (see below), whose sum is σ = 140130900. Its totient is φ = 17040384.

The previous prime is 51430811. The next prime is 51430837. The reversal of 51430824 is 42803415.

It is an interprime number because it is at equal distance from previous prime (51430811) and next prime (51430837).

It can be written as a sum of positive squares in 2 ways, for example, as 47858724 + 3572100 = 6918^2 + 1890^2 .

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, 10392 + ... + 14520.

Almost surely, 2^51430824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51430824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70065450).

51430824 is an abundant number, since it is smaller than the sum of its proper divisors (88700076).

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

51430824 is a wasteful number, since it uses less digits than its factorization.

51430824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51430824 is about 7171.5287073259. The cubic root of 51430824 is about 371.8842858967.

The spelling of 51430824 in words is "fifty-one million, four hundred thirty thousand, eight hundred twenty-four".