48961872 has 60 divisors (see below), whose sum is σ = 140384244. Its totient is φ = 15920640.

The previous prime is 48961867. The next prime is 48961897. The reversal of 48961872 is 27816984.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 43086096 = 2424^2 + 6564^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1758 + ... + 10050.

Almost surely, 2^48961872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48961872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70192122).

48961872 is an abundant number, since it is smaller than the sum of its proper divisors (91422372).

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

48961872 is a wasteful number, since it uses less digits than its factorization.

48961872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8339 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 48961872 is about 6997.2760414321. The cubic root of 48961872 is about 365.8356334430.

The spelling of 48961872 in words is "forty-eight million, nine hundred sixty-one thousand, eight hundred seventy-two".