47532096 has 140 divisors (see below), whose sum is σ = 144388332. Its totient is φ = 15455232.

The previous prime is 47532077. The next prime is 47532097. The reversal of 47532096 is 69023574.

It can be written as a sum of positive squares in 2 ways, for example, as 39237696 + 8294400 = 6264^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47532096.

It is not an unprimeable number, because it can be changed into a prime (47532097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274666 + ... + 274838.

Almost surely, 2^47532096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72194166).

47532096 is an abundant number, since it is smaller than the sum of its proper divisors (96856236).

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

47532096 is a wasteful number, since it uses less digits than its factorization.

47532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47532096 is about 6894.3524714073. The cubic root of 47532096 is about 362.2393744553.

The spelling of 47532096 in words is "forty-seven million, five hundred thirty-two thousand, ninety-six".