49582880 has 48 divisors (see below), whose sum is σ = 124036920. Its totient is φ = 18665472.

The previous prime is 49582877. The next prime is 49582889. The reversal of 49582880 is 8828594.

It can be written as a sum of positive squares in 4 ways, for example, as 49392784 + 190096 = 7028^2 + 436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49582889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6395 + ... + 11834.

Almost surely, 2^49582880 is an apocalyptic number.

49582880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49582880 is an abundant number, since it is smaller than the sum of its proper divisors (74454040).

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

49582880 is a wasteful number, since it uses less digits than its factorization.

49582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261 (or 18253 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 49582880 is about 7041.5112014396. The cubic root of 49582880 is about 367.3758323020.

The spelling of 49582880 in words is "forty-nine million, five hundred eighty-two thousand, eight hundred eighty".