48282640 has 120 divisors (see below), whose sum is σ = 132949080. Its totient is φ = 16257024.

The previous prime is 48282631. The next prime is 48282643. The reversal of 48282640 is 4628284.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 47831056 = 672^2 + 6916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48282596 and 48282605.

It is not an unprimeable number, because it can be changed into a prime (48282643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427224 + ... + 427336.

It is an arithmetic number, because the mean of its divisors is an integer number (1107909).

Almost surely, 2^48282640 is an apocalyptic number.

48282640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66474540).

48282640 is an abundant number, since it is smaller than the sum of its proper divisors (84666440).

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

48282640 is a wasteful number, since it uses less digits than its factorization.

48282640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48282640 is about 6948.5710761278. The cubic root of 48282640 is about 364.1360438223.

The spelling of 48282640 in words is "forty-eight million, two hundred eighty-two thousand, six hundred forty".