49768992 has 240 divisors, whose sum is σ = 181000512. Its totient is φ = 13063680.

The previous prime is 49768969. The next prime is 49768997. The reversal of 49768992 is 29986794.

49768992 is a `hidden beast` number, since 497 + 68 + 9 + 92 = 666.

49768992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49768997) 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 39 ways as a sum of consecutive naturals, for example, 235767 + ... + 235977.

Almost surely, 2^49768992 is an apocalyptic number.

49768992 is a gapful number since it is divisible by the number (42) 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 49768992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90500256).

49768992 is an abundant number, since it is smaller than the sum of its proper divisors (131231520).

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

49768992 is a wasteful number, since it uses less digits than its factorization.

49768992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 49768992 is about 7054.7141685542. The cubic root of 49768992 is about 367.8349133500.

The spelling of 49768992 in words is "forty-nine million, seven hundred sixty-eight thousand, nine hundred ninety-two".