49056 has 48 divisors (see below), whose sum is σ = 149184. Its totient is φ = 13824.

The previous prime is 49043. The next prime is 49057. The reversal of 49056 is 65094.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×49056² = 4812982272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49056.

It is not an unprimeable number, because it can be changed into a prime (49057) 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, 636 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

2⁴⁹⁰⁵⁶ 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 49056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592).

49056 is an abundant number, since it is smaller than the sum of its proper divisors (100128).

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

49056 is a wasteful number, since it uses less digits than its factorization.

49056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 49056 is about 221.4858911985. The cubic root of 49056 is about 36.6069920053.

The spelling of 49056 in words is "forty-nine thousand, fifty-six".