47582496 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 14353920.

The previous prime is 47582453. The next prime is 47582503. The reversal of 47582496 is 69428574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265735 + ... + 265913.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^47582496 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 47582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

47582496 is an abundant number, since it is smaller than the sum of its proper divisors (101016864).

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

47582496 is a wasteful number, since it uses less digits than its factorization.

47582496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 47582496 is about 6898.0066685964. The cubic root of 47582496 is about 362.3673610650.

The spelling of 47582496 in words is "forty-seven million, five hundred eighty-two thousand, four hundred ninety-six".