47824434 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 12658176.

The previous prime is 47824433. The next prime is 47824457. The reversal of 47824434 is 43442874.

It is a happy number.

Its product of digits (86016) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (47824433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177652 + ... + 177920.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^47824434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47824434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

47824434 is an abundant number, since it is smaller than the sum of its proper divisors (79546446).

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

47824434 is a wasteful number, since it uses less digits than its factorization.

47824434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 47824434 is about 6915.5212384895. The cubic root of 47824434 is about 362.9804875335.

It can be divided in two parts, 4782 and 4434, that added together give a square (9216 = 96²).

The spelling of 47824434 in words is "forty-seven million, eight hundred twenty-four thousand, four hundred thirty-four".