48288961 has 12 divisors (see below), whose sum is σ = 56539668. Its totient is φ = 41120352.

The previous prime is 48288943. The next prime is 48288967. The reversal of 48288961 is 16988284.

It can be written as a sum of positive squares in 2 ways, for example, as 34000561 + 14288400 = 5831^2 + 3780^2 .

It is not a de Polignac number, because 48288961 - 2⁷ = 48288833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48288967) by changing a digit.

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, 4555 + ... + 10831.

It is an arithmetic number, because the mean of its divisors is an integer number (4711639).

Almost surely, 2^48288961 is an apocalyptic number.

It is an amenable number.

48288961 is a deficient number, since it is larger than the sum of its proper divisors (8250707).

48288961 is a wasteful number, since it uses less digits than its factorization.

48288961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6441 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The square root of 48288961 is about 6949.0259029593. The cubic root of 48288961 is about 364.1519336155.

The spelling of 48288961 in words is "forty-eight million, two hundred eighty-eight thousand, nine hundred sixty-one".