47378016 has 144 divisors (see below), whose sum is σ = 156619008. Its totient is φ = 13305600.

The previous prime is 47377991. The next prime is 47378041. The reversal of 47378016 is 61087374.

47378016 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 (47377991) and next prime (47378041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142971 + ... + 143301.

It is an arithmetic number, because the mean of its divisors is an integer number (1087632).

Almost surely, 2^47378016 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 47378016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78309504).

47378016 is an abundant number, since it is smaller than the sum of its proper divisors (109240992).

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

47378016 is a wasteful number, since it uses less digits than its factorization.

47378016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 47378016 is about 6883.1690375873. The cubic root of 47378016 is about 361.8475391477.

The spelling of 47378016 in words is "forty-seven million, three hundred seventy-eight thousand, sixteen".