47817864 has 80 divisors (see below), whose sum is σ = 135362700. Its totient is φ = 15769728.

The previous prime is 47817859. The next prime is 47817883. The reversal of 47817864 is 46871874.

47817864 is a `hidden beast` number, since 478 + 178 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38564100 + 9253764 = 6210^2 + 3042^2 .

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 19 ways as a sum of consecutive naturals, for example, 70294 + ... + 70970.

Almost surely, 2^47817864 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 47817864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67681350).

47817864 is an abundant number, since it is smaller than the sum of its proper divisors (87544836).

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

47817864 is a wasteful number, since it uses less digits than its factorization.

47817864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 47817864 is about 6915.0462037502. The cubic root of 47817864 is about 362.9638649913.

The spelling of 47817864 in words is "forty-seven million, eight hundred seventeen thousand, eight hundred sixty-four".