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85809812 = 221121710429
BaseRepresentation
bin1010001110101…
…01101010010100
312222110120221012
411013111222110
5133431403222
612303111352
72061241244
oct507255224
9188416835
1085809812
114448a200
12248a2558
1314a1594a
14b579b24
1578001e2
hex51d5a94

85809812 has 36 divisors (see below), whose sum is σ = 174785940. Its totient is φ = 36706560.

The previous prime is 85809793. The next prime is 85809817. The reversal of 85809812 is 21890858.

It can be written as a sum of positive squares in 2 ways, for example, as 78605956 + 7203856 = 8866^2 + 2684^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85809812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85809817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3014 + ... + 13442.

It is an arithmetic number, because the mean of its divisors is an integer number (4855165).

Almost surely, 285809812 is an apocalyptic number.

It is an amenable number.

85809812 is an abundant number, since it is smaller than the sum of its proper divisors (88976128).

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

85809812 is a wasteful number, since it uses less digits than its factorization.

85809812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The square root of 85809812 is about 9263.3585701947. The cubic root of 85809812 is about 441.0748720665.

The spelling of 85809812 in words is "eighty-five million, eight hundred nine thousand, eight hundred twelve".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 2057 4114 8228 10429 20858 41716 114719 177293 229438 354586 458876 709172 1261909 1950223 2523818 3900446 5047636 7800892 21452453 42904906 85809812