48500 has 24 divisors (see below), whose sum is σ = 107016. Its totient is φ = 19200.
The previous prime is 48497. The next prime is 48523. The reversal of 48500 is 584.
It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 45796 = 52^2 + 214^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452 + ... + 548.
It is an arithmetic number, because the mean of its divisors is an integer number (4459).
248500 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 48500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508).
48500 is an abundant number, since it is smaller than the sum of its proper divisors (58516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48500 is a wasteful number, since it uses less digits than its factorization.
48500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 17.
The square root of 48500 is about 220.2271554555. The cubic root of 48500 is about 36.4681651488.
The spelling of 48500 in words is "forty-eight thousand, five hundred".
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