47538792 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 12982464.

The previous prime is 47538791. The next prime is 47538809. The reversal of 47538792 is 29783574.

47538792 is a `hidden beast` number, since 47 + 538 + 79 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (47538791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34093 + ... + 35459.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^47538792 is an apocalyptic number.

47538792 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 47538792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

47538792 is an abundant number, since it is smaller than the sum of its proper divisors (110054808).

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

47538792 is a wasteful number, since it uses less digits than its factorization.

47538792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 47538792 is about 6894.8380691645. The cubic root of 47538792 is about 362.2563836004.

The spelling of 47538792 in words is "forty-seven million, five hundred thirty-eight thousand, seven hundred ninety-two".