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8850 = 235259

8850 has 24 divisors (see below), whose sum is σ = 22320. Its totient is φ = 2320.

The previous prime is 8849. The next prime is 8861. The reversal of 8850 is 588.

It is a nialpdrome in base 10 and base 14.

It is a zygodrome in base 14.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 121 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (930).

28850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

8850 is an abundant number, since it is smaller than the sum of its proper divisors (13470).

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

8850 is a wasteful number, since it uses less digits than its factorization.

8850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8850 is about 94.0744386111. The cubic root of 8850 is about 20.6846300056.

It can be divided in two parts, 8 and 850, that added together give a palindrome (858).

The spelling of 8850 in words is "eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1770 2950 4425 8850