47565648 has 60 divisors (see below), whose sum is σ = 143363220. Its totient is φ = 14635008.

The previous prime is 47565641. The next prime is 47565653. The reversal of 47565648 is 84656574.

47565648 is a `hidden beast` number, since 47 + 565 + 6 + 48 = 666.

47565648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 42146064 = 2328^2 + 6492^2 .

It is a super-3 number, since 3×47565648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47565641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10833 + ... + 14576.

It is an arithmetic number, because the mean of its divisors is an integer number (2389387).

Almost surely, 2^47565648 is an apocalyptic number.

47565648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47565648 is an abundant number, since it is smaller than the sum of its proper divisors (95797572).

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

47565648 is a wasteful number, since it uses less digits than its factorization.

47565648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25436 (or 25427 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 47565648 is about 6896.7853381122. The cubic root of 47565648 is about 362.3245870303.

It can be divided in two parts, 4756 and 5648, that added together give a square (10404 = 102²).

The spelling of 47565648 in words is "forty-seven million, five hundred sixty-five thousand, six hundred forty-eight".