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82950 = 2352779
BaseRepresentation
bin10100010000000110
311012210020
4110100012
510123300
61440010
7463560
oct242006
9135706
1082950
115735a
1240006
132b9aa
1422330
15198a0
hex14406

82950 has 48 divisors (see below), whose sum is σ = 238080. Its totient is φ = 18720.

The previous prime is 82939. The next prime is 82963. The reversal of 82950 is 5928.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82950.

It is a congruent number.

It is an unprimeable number.

82950 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 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

282950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

82950 is an abundant number, since it is smaller than the sum of its proper divisors (155130).

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

82950 is a wasteful number, since it uses less digits than its factorization.

82950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 82950 is about 288.0104164783. The cubic root of 82950 is about 43.6119457770.

The spelling of 82950 in words is "eighty-two thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 79 105 150 158 175 210 237 350 395 474 525 553 790 1050 1106 1185 1659 1975 2370 2765 3318 3950 5530 5925 8295 11850 13825 16590 27650 41475 82950