48583296 has 96 divisors (see below), whose sum is σ = 141179220. Its totient is φ = 16035840.

The previous prime is 48583277. The next prime is 48583343. The reversal of 48583296 is 69238584.

48583296 is a `hidden beast` number, since 48 + 583 + 29 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 11128896 = 6120^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 208396 + ... + 208628.

Almost surely, 2^48583296 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 48583296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70589610).

48583296 is an abundant number, since it is smaller than the sum of its proper divisors (92595924).

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

48583296 is a wasteful number, since it uses less digits than its factorization.

48583296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48583296 is about 6970.1718773643. The cubic root of 48583296 is about 364.8903054364.

The spelling of 48583296 in words is "forty-eight million, five hundred eighty-three thousand, two hundred ninety-six".