47584704 has 56 divisors (see below), whose sum is σ = 126878080. Its totient is φ = 15738624.

The previous prime is 47584699. The next prime is 47584709. The reversal of 47584704 is 40748574.

It is an interprime number because it is at equal distance from previous prime (47584699) and next prime (47584709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47584709) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25797 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (2265680).

Almost surely, 2^47584704 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 47584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63439040).

47584704 is an abundant number, since it is smaller than the sum of its proper divisors (79293376).

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

47584704 is a wasteful number, since it uses less digits than its factorization.

47584704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 47584704 is about 6898.1667129753. The cubic root of 47584704 is about 362.3729660306.

The spelling of 47584704 in words is "forty-seven million, five hundred eighty-four thousand, seven hundred four".