47982816 has 72 divisors (see below), whose sum is σ = 155950704. Its totient is φ = 13708800.

The previous prime is 47982793. The next prime is 47982839. The reversal of 47982816 is 61828974.

It is an interprime number because it is at equal distance from previous prime (47982793) and next prime (47982839).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9885 + ... + 13916.

It is an arithmetic number, because the mean of its divisors is an integer number (2165982).

Almost surely, 2^47982816 is an apocalyptic number.

It is an amenable number.

47982816 is an abundant number, since it is smaller than the sum of its proper divisors (107967888).

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

47982816 is a wasteful number, since it uses less digits than its factorization.

47982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23824 (or 23813 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 47982816 is about 6926.9629708841. The cubic root of 47982816 is about 363.3807447786.

The spelling of 47982816 in words is "forty-seven million, nine hundred eighty-two thousand, eight hundred sixteen".