48782592 has 108 divisors (see below), whose sum is σ = 145401984. Its totient is φ = 15713280.

The previous prime is 48782581. The next prime is 48782593. The reversal of 48782592 is 29528784.

48782592 is a `hidden beast` number, since 487 + 82 + 5 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48782593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71083 + ... + 71765.

Almost surely, 2^48782592 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 48782592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700992).

48782592 is an abundant number, since it is smaller than the sum of its proper divisors (96619392).

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

48782592 is a wasteful number, since it uses less digits than its factorization.

48782592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 48782592 is about 6984.4535935175. The cubic root of 48782592 is about 365.3885697409.

The spelling of 48782592 in words is "forty-eight million, seven hundred eighty-two thousand, five hundred ninety-two".