47642112 has 180 divisors, whose sum is σ = 160705116. Its totient is φ = 13547520.

The previous prime is 47642107. The next prime is 47642117. The reversal of 47642112 is 21124674.

47642112 is a `hidden beast` number, since 4 + 7 + 642 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (47642107) and next prime (47642117).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47642117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225687 + ... + 225897.

Almost surely, 2^47642112 is an apocalyptic number.

47642112 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 47642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352558).

47642112 is an abundant number, since it is smaller than the sum of its proper divisors (113063004).

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

47642112 is a wasteful number, since it uses less digits than its factorization.

47642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 223 counting only the distinct ones).

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

The square root of 47642112 is about 6902.3265642825. The cubic root of 47642112 is about 362.5186343176.

Adding to 47642112 its reverse (21124674), we get a palindrome (68766786).

The spelling of 47642112 in words is "forty-seven million, six hundred forty-two thousand, one hundred twelve".