47541648 has 160 divisors (see below), whose sum is σ = 161418240. Its totient is φ = 11681280.

The previous prime is 47541623. The next prime is 47541661. The reversal of 47541648 is 84614574.

47541648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69886 + ... + 70562.

It is an arithmetic number, because the mean of its divisors is an integer number (1008864).

Almost surely, 2^47541648 is an apocalyptic number.

47541648 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 47541648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80709120).

47541648 is an abundant number, since it is smaller than the sum of its proper divisors (113876592).

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

47541648 is a wasteful number, since it uses less digits than its factorization.

47541648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 47541648 is about 6895.0451775170. The cubic root of 47541648 is about 362.2636379112.

The spelling of 47541648 in words is "forty-seven million, five hundred forty-one thousand, six hundred forty-eight".