49680288 has 144 divisors (see below), whose sum is σ = 170089920. Its totient is φ = 13436928.

The previous prime is 49680283. The next prime is 49680289. The reversal of 49680288 is 88208694.

It is a happy number.

49680288 is a `hidden beast` number, since 496 + 80 + 2 + 88 = 666.

49680288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (49680283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37656 + ... + 38952.

It is an arithmetic number, because the mean of its divisors is an integer number (1181180).

Almost surely, 2^49680288 is an apocalyptic number.

49680288 is a gapful number since it is divisible by the number (48) 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 49680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85044960).

49680288 is an abundant number, since it is smaller than the sum of its proper divisors (120409632).

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

49680288 is a wasteful number, since it uses less digits than its factorization.

49680288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 49680288 is about 7048.4245048096. The cubic root of 49680288 is about 367.6162508805.

The spelling of 49680288 in words is "forty-nine million, six hundred eighty thousand, two hundred eighty-eight".