49768000 has 56 divisors (see below), whose sum is σ = 123270264. Its totient is φ = 19904000.

The previous prime is 49767967. The next prime is 49768013. The reversal of 49768000 is 86794.

49768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 38044224 = 3424^2 + 6168^2 .

It is a super-3 number, since 3×49768000³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4890 + ... + 11110.

Almost surely, 2^49768000 is an apocalyptic number.

49768000 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 49768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61635132).

49768000 is an abundant number, since it is smaller than the sum of its proper divisors (73502264).

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

49768000 is an equidigital number, since it uses as much as digits as its factorization.

49768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 49768000 is about 7054.6438606070. The cubic root of 49768000 is about 367.8324694276.

The spelling of 49768000 in words is "forty-nine million, seven hundred sixty-eight thousand".