49268736 has 192 divisors, whose sum is σ = 161179200. Its totient is φ = 14929920.

The previous prime is 49268731. The next prime is 49268741. The reversal of 49268736 is 63786294.

It is an interprime number because it is at equal distance from previous prime (49268731) and next prime (49268741).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (435456) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 49268691 and 49268700.

It is not an unprimeable number, because it can be changed into a prime (49268731) 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 15 ways as a sum of consecutive naturals, for example, 4478971 + ... + 4478981.

It is an arithmetic number, because the mean of its divisors is an integer number (839475).

Almost surely, 2^49268736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

49268736 is an abundant number, since it is smaller than the sum of its proper divisors (111910464).

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

49268736 is an frugal number, since it uses more digits than its factorization.

49268736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 49268736 is about 7019.1691816055. The cubic root of 49268736 is about 366.5983226155.

The spelling of 49268736 in words is "forty-nine million, two hundred sixty-eight thousand, seven hundred thirty-six".