47916792 has 256 divisors, whose sum is σ = 172339200. Its totient is φ = 11975040.

The previous prime is 47916779. The next prime is 47916811. The reversal of 47916792 is 29761974.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715143 + ... + 715209.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^47916792 is an apocalyptic number.

47916792 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 47916792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

47916792 is an abundant number, since it is smaller than the sum of its proper divisors (124422408).

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

47916792 is a wasteful number, since it uses less digits than its factorization.

47916792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 47916792 is about 6922.1956054420. The cubic root of 47916792 is about 363.2139985354.

It can be divided in two parts, 479 and 16792, that added together give a palindrome (17271).

The spelling of 47916792 in words is "forty-seven million, nine hundred sixteen thousand, seven hundred ninety-two".