47729418 has 48 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 13958560.

The previous prime is 47729417. The next prime is 47729419. The reversal of 47729418 is 81492774.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47729417) and next prime (47729419).

It is a self number, because there is not a number n which added to its sum of digits gives 47729418.

It is not an unprimeable number, because it can be changed into a prime (47729411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19921 + ... + 22187.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^47729418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47729418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

47729418 is an abundant number, since it is smaller than the sum of its proper divisors (60862422).

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

47729418 is a wasteful number, since it uses less digits than its factorization.

47729418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2312 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 47729418 is about 6908.6480587739. The cubic root of 47729418 is about 362.7399422942.

The spelling of 47729418 in words is "forty-seven million, seven hundred twenty-nine thousand, four hundred eighteen".