49777794 has 64 divisors (see below), whose sum is σ = 123310080. Its totient is φ = 14754960.

The previous prime is 49777757. The next prime is 49777799.

49777794 is nontrivially palindromic in base 10.

49777794 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 self number, because there is not a number n which added to its sum of digits gives 49777794.

It is not an unprimeable number, because it can be changed into a prime (49777799) 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 31 ways as a sum of consecutive naturals, for example, 27027 + ... + 28809.

It is an arithmetic number, because the mean of its divisors is an integer number (1926720).

Almost surely, 2^49777794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49777794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61655040).

49777794 is an abundant number, since it is smaller than the sum of its proper divisors (73532286).

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

49777794 is a wasteful number, since it uses less digits than its factorization.

49777794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1846 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 49777794 is about 7055.3379791474. The cubic root of 49777794 is about 367.8565968114.

The spelling of 49777794 in words is "forty-nine million, seven hundred seventy-seven thousand, seven hundred ninety-four".