47846016 has 96 divisors (see below), whose sum is σ = 141179220. Its totient is φ = 15544320.

The previous prime is 47845979. The next prime is 47846039. The reversal of 47846016 is 61064874.

47846016 is a `hidden beast` number, since 47 + 8 + 4 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 17640000 = 5496^2 + 4200^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46726 + ... + 47738.

Almost surely, 2^47846016 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 47846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70589610).

47846016 is an abundant number, since it is smaller than the sum of its proper divisors (93333204).

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

47846016 is a wasteful number, since it uses less digits than its factorization.

47846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47846016 is about 6917.0814654737. The cubic root of 47846016 is about 363.0350807341.

The spelling of 47846016 in words is "forty-seven million, eight hundred forty-six thousand, sixteen".