49296 has 40 divisors (see below), whose sum is σ = 138880. Its totient is φ = 14976.

The previous prime is 49279. The next prime is 49297. The reversal of 49296 is 69294.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁴⁹²⁹⁶ 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 49296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

49296 is an abundant number, since it is smaller than the sum of its proper divisors (89584).

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

49296 is a wasteful number, since it uses less digits than its factorization.

49296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 49296 is about 222.0270253820. The cubic root of 49296 is about 36.6665932046. Note that the first 3 decimals are identical.

The spelling of 49296 in words is "forty-nine thousand, two hundred ninety-six".