48465936 has 60 divisors (see below), whose sum is σ = 138962460. Its totient is φ = 15759360.

The previous prime is 48465919. The next prime is 48465983. The reversal of 48465936 is 63956484.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 45643536 = 1680^2 + 6756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48465891 and 48465900.

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, 1800 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (2316041).

Almost surely, 2^48465936 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 48465936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69481230).

48465936 is an abundant number, since it is smaller than the sum of its proper divisors (90496524).

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

48465936 is a wasteful number, since it uses less digits than its factorization.

48465936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8255 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 48465936 is about 6961.7480563433. The cubic root of 48465936 is about 364.5962533769.

The spelling of 48465936 in words is "forty-eight million, four hundred sixty-five thousand, nine hundred thirty-six".