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850085 = 51773137
BaseRepresentation
bin11001111100010100101
31121012002122
43033202211
5204200320
630115325
710140245
oct3174245
91535078
10850085
11530755
1234bb45
13239c12
14181b25
1511bd25
hexcf8a5

850085 has 16 divisors (see below), whose sum is σ = 1102896. Its totient is φ = 626688.

The previous prime is 850081. The next prime is 850093. The reversal of 850085 is 580058.

It is a Cunningham number, because it is equal to 9222+1.

It can be written as a sum of positive squares in 8 ways, for example, as 20164 + 829921 = 142^2 + 911^2 .

It is not a de Polignac number, because 850085 - 22 = 850081 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6137 + ... + 6273.

It is an arithmetic number, because the mean of its divisors is an integer number (68931).

2850085 is an apocalyptic number.

850085 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

850085 is a deficient number, since it is larger than the sum of its proper divisors (252811).

850085 is a wasteful number, since it uses less digits than its factorization.

850085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 850085 is about 922.0005422992. Note that the first 3 decimals coincide. The cubic root of 850085 is about 94.7299811741.

It can be divided in two parts, 8500 and 85, that multiplied together give a square (722500 = 8502).

The spelling of 850085 in words is "eight hundred fifty thousand, eighty-five".

Divisors: 1 5 17 73 85 137 365 685 1241 2329 6205 10001 11645 50005 170017 850085