47085192 has 256 divisors, whose sum is σ = 172800000. Its totient is φ = 11508480.

The previous prime is 47085139. The next prime is 47085197. The reversal of 47085192 is 29158074.

47085192 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 (36).

It is not an unprimeable number, because it can be changed into a prime (47085197) 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 63 ways as a sum of consecutive naturals, for example, 315934 + ... + 316082.

It is an arithmetic number, because the mean of its divisors is an integer number (675000).

Almost surely, 2^47085192 is an apocalyptic number.

47085192 is a gapful number since it is divisible by the number (42) 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 47085192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400000).

47085192 is an abundant number, since it is smaller than the sum of its proper divisors (125714808).

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

47085192 is a wasteful number, since it uses less digits than its factorization.

47085192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 47085192 is about 6861.8650525932. The cubic root of 47085192 is about 361.1005211639.

The spelling of 47085192 in words is "forty-seven million, eighty-five thousand, one hundred ninety-two".