47936448 has 140 divisors (see below), whose sum is σ = 162521392. Its totient is φ = 13685760.

The previous prime is 47936407. The next prime is 47936453. The reversal of 47936448 is 84463974.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35628 + ... + 36948.

Almost surely, 2^47936448 is an apocalyptic number.

47936448 is a gapful number since it is divisible by the number (48) 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 47936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81260696).

47936448 is an abundant number, since it is smaller than the sum of its proper divisors (114584944).

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

47936448 is a wasteful number, since it uses less digits than its factorization.

47936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 47936448 is about 6923.6152406095. The cubic root of 47936448 is about 363.2636565507.

It can be divided in two parts, 47936 and 448, that added together give a palindrome (48384).

The spelling of 47936448 in words is "forty-seven million, nine hundred thirty-six thousand, four hundred forty-eight".