51882584 has 64 divisors (see below), whose sum is σ = 109485600. Its totient is φ = 22892544.

The previous prime is 51882581. The next prime is 51882587. The reversal of 51882584 is 48528815.

It is a happy number.

51882584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51882581) and next prime (51882587).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51882581) 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 15 ways as a sum of consecutive naturals, for example, 373187 + ... + 373325.

Almost surely, 2^51882584 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 51882584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54742800).

51882584 is an abundant number, since it is smaller than the sum of its proper divisors (57603016).

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

51882584 is a wasteful number, since it uses less digits than its factorization.

51882584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 288 counting only the distinct ones).

The product of its digits is 102400, while the sum is 41.

The square root of 51882584 is about 7202.9566151685. The cubic root of 51882584 is about 372.9699702936.

The spelling of 51882584 in words is "fifty-one million, eight hundred eighty-two thousand, five hundred eighty-four".