47182016 has 112 divisors (see below), whose sum is σ = 118018560. Its totient is φ = 18247680.

The previous prime is 47182013. The next prime is 47182019. The reversal of 47182016 is 61028174.

47182016 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 (47182013) and next prime (47182019).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×47182016² = 4452285267648512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47182016.

It is not an unprimeable number, because it can be changed into a prime (47182013) 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, 195656 + ... + 195896.

Almost surely, 2^47182016 is an apocalyptic number.

47182016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59009280).

47182016 is an abundant number, since it is smaller than the sum of its proper divisors (70836544).

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

47182016 is a wasteful number, since it uses less digits than its factorization.

47182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 47182016 is about 6868.9166540292. The cubic root of 47182016 is about 361.3478689825.

The spelling of 47182016 in words is "forty-seven million, one hundred eighty-two thousand, sixteen".