47583648 has 72 divisors (see below), whose sum is σ = 154653408. Its totient is φ = 13594752.

The previous prime is 47583643. The next prime is 47583659. The reversal of 47583648 is 84638574.

47583648 is a `hidden beast` number, since 4 + 7 + 583 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (47583643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9786 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (2147964).

Almost surely, 2^47583648 is an apocalyptic number.

47583648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47583648 is an abundant number, since it is smaller than the sum of its proper divisors (107069760).

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

47583648 is a wasteful number, since it uses less digits than its factorization.

47583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23626 (or 23615 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 47583648 is about 6898.0901704747. The cubic root of 47583648 is about 362.3702854165.

The spelling of 47583648 in words is "forty-seven million, five hundred eighty-three thousand, six hundred forty-eight".