49648 has 20 divisors (see below), whose sum is σ = 100440. Its totient is φ = 23744.

The previous prime is 49639. The next prime is 49663. The reversal of 49648 is 84694.

Its product of digits (6912) is a multiple of the sum of its prime factors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 411 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁴⁹⁶⁴⁸ 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 49648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

49648 is an abundant number, since it is smaller than the sum of its proper divisors (50792).

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

49648 is a wasteful number, since it uses less digits than its factorization.

49648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 49648 is about 222.8183116353. The cubic root of 49648 is about 36.7536593761.

The spelling of 49648 in words is "forty-nine thousand, six hundred forty-eight".