49588 has 36 divisors (see below), whose sum is σ = 114912. Its totient is φ = 18480.

The previous prime is 49559. The next prime is 49597. The reversal of 49588 is 88594.

It is a congruent number.

It is an unprimeable number.

49588 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 2145 + ... + 2167.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2⁴⁹⁵⁸⁸ 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 49588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

49588 is an abundant number, since it is smaller than the sum of its proper divisors (65324).

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

49588 is a wasteful number, since it uses less digits than its factorization.

49588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 43 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 49588 is about 222.6836320882. The cubic root of 49588 is about 36.7388477120.

The spelling of 49588 in words is "forty-nine thousand, five hundred eighty-eight".