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8500 = 225317
BaseRepresentation
bin10000100110100
3102122211
42010310
5233000
6103204
733532
oct20464
912584
108500
116428
124b04
133b3b
143152
1527ba
hex2134

8500 has 24 divisors (see below), whose sum is σ = 19656. Its totient is φ = 3200.

The previous prime is 8467. The next prime is 8501. The reversal of 8500 is 58.

8500 = 62 + 72 + ... + 292.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 8464 = 6^2 + 92^2 .

8500 is an undulating number in base 13.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8501) by changing a digit.

8500 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

28500 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 8500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828).

8500 is an abundant number, since it is smaller than the sum of its proper divisors (11156).

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

8500 is a wasteful number, since it uses less digits than its factorization.

8500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 8500 is about 92.1954445729. The cubic root of 8500 is about 20.4082755096.

Adding to 8500 its reverse (58), we get a palindrome (8558).

The spelling of 8500 in words is "eight thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500