47561008 has 40 divisors (see below), whose sum is σ = 101149776. Its totient is φ = 21484800.

The previous prime is 47560999. The next prime is 47561023. The reversal of 47561008 is 80016574.

47561008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 31110 + ... + 32602.

Almost surely, 2^47561008 is an apocalyptic number.

47561008 is the 3982-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50574888).

47561008 is an abundant number, since it is smaller than the sum of its proper divisors (53588768).

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

47561008 is a wasteful number, since it uses less digits than its factorization.

47561008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 47561008 is about 6896.4489413031. The cubic root of 47561008 is about 362.3128051329.

The spelling of 47561008 in words is "forty-seven million, five hundred sixty-one thousand, eight".