48832641 has 48 divisors (see below), whose sum is σ = 87272640. Its totient is φ = 25868160.

The previous prime is 48832633. The next prime is 48832661. The reversal of 48832641 is 14623884.

48832641 is a `hidden beast` number, since 4 + 8 + 8 + 3 + 2 + 641 = 666.

It is not a de Polignac number, because 48832641 - 2³ = 48832633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48832596 and 48832605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48832631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23455 + ... + 25451.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180).

Almost surely, 2^48832641 is an apocalyptic number.

It is an amenable number.

48832641 is a deficient number, since it is larger than the sum of its proper divisors (38439999).

48832641 is a wasteful number, since it uses less digits than its factorization.

48832641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2043 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48832641 is about 6988.0355608712. The cubic root of 48832641 is about 365.5134850799.

The spelling of 48832641 in words is "forty-eight million, eight hundred thirty-two thousand, six hundred forty-one".