47548032 has 192 divisors, whose sum is σ = 155448000. Its totient is φ = 12870144.

The previous prime is 47548009. The next prime is 47548037. The reversal of 47548032 is 23084574.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 47547984 and 47548002.

It is not an unprimeable number, because it can be changed into a prime (47548037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502519 + ... + 2502537.

It is an arithmetic number, because the mean of its divisors is an integer number (809625).

Almost surely, 2^47548032 is an apocalyptic number.

47548032 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 47548032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77724000).

47548032 is an abundant number, since it is smaller than the sum of its proper divisors (107899968).

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

47548032 is an equidigital number, since it uses as much as digits as its factorization.

47548032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 47548032 is about 6895.5081031060. The cubic root of 47548032 is about 362.2798523789.

The spelling of 47548032 in words is "forty-seven million, five hundred forty-eight thousand, thirty-two".