47802820 has 48 divisors (see below), whose sum is σ = 110179440. Its totient is φ = 17312256.

The previous prime is 47802791. The next prime is 47802823. The reversal of 47802820 is 2820874.

47802820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9437184 + 38365636 = 3072^2 + 6194^2 .

It is not an unprimeable number, because it can be changed into a prime (47802823) 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, 12046 + ... + 15514.

It is an arithmetic number, because the mean of its divisors is an integer number (2295405).

Almost surely, 2^47802820 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 47802820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55089720).

47802820 is an abundant number, since it is smaller than the sum of its proper divisors (62376620).

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

47802820 is a wasteful number, since it uses less digits than its factorization.

47802820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 47802820 is about 6913.9583452607. The cubic root of 47802820 is about 362.9257969231.

The spelling of 47802820 in words is "forty-seven million, eight hundred two thousand, eight hundred twenty".