47082600 has 96 divisors (see below), whose sum is σ = 162192000. Its totient is φ = 12553920.

The previous prime is 47082599. The next prime is 47082619. The reversal of 47082600 is 628074.

47082600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1041 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (1689500).

Almost surely, 2^47082600 is an apocalyptic number.

47082600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47082600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81096000).

47082600 is an abundant number, since it is smaller than the sum of its proper divisors (115109400).

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

47082600 is a wasteful number, since it uses less digits than its factorization.

47082600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47082600 is about 6861.6761800598. The cubic root of 47082600 is about 361.0938949496.

The spelling of 47082600 in words is "forty-seven million, eighty-two thousand, six hundred".