47295648 has 72 divisors (see below), whose sum is σ = 135963828. Its totient is φ = 15593472.

The previous prime is 47295637. The next prime is 47295653. The reversal of 47295648 is 84659274.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46949904 + 345744 = 6852^2 + 588^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27090 + ... + 28782.

Almost surely, 2^47295648 is an apocalyptic number.

47295648 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 47295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67981914).

47295648 is an abundant number, since it is smaller than the sum of its proper divisors (88668180).

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

47295648 is a wasteful number, since it uses less digits than its factorization.

47295648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1795 counting only the distinct ones).

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

The square root of 47295648 is about 6877.1831442823. The cubic root of 47295648 is about 361.6377235033.

The spelling of 47295648 in words is "forty-seven million, two hundred ninety-five thousand, six hundred forty-eight".