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2823836085 = 325717527327
BaseRepresentation
bin1010100001010000…
…0101000110110101
321021210112201212200
42220110011012311
521240400223320
61144112335113
7126656132160
oct25024050665
97253481780
102823836085
111219a88934
12669844499
13360054735
141cb06aad7
15117d97290
hexa85051b5

2823836085 has 48 divisors (see below), whose sum is σ = 5922948096. Its totient is φ = 1214959104.

The previous prime is 2823836083. The next prime is 2823836089. The reversal of 2823836085 is 5806383282.

2823836085 is a `hidden beast` number, since 2 + 8 + 2 + 38 + 3 + 608 + 5 = 666.

It is not a de Polignac number, because 2823836085 - 21 = 2823836083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2823836085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823836083) 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 47 ways as a sum of consecutive naturals, for example, 258309 + ... + 269018.

It is an arithmetic number, because the mean of its divisors is an integer number (123394752).

Almost surely, 22823836085 is an apocalyptic number.

It is an amenable number.

2823836085 is an abundant number, since it is smaller than the sum of its proper divisors (3099112011).

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

2823836085 is a wasteful number, since it uses less digits than its factorization.

2823836085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527362 (or 527359 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2823836085 is about 53139.7787443644. The cubic root of 2823836085 is about 1413.4479747043.

The spelling of 2823836085 in words is "two billion, eight hundred twenty-three million, eight hundred thirty-six thousand, eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 527327 1581981 2636635 3691289 4745943 7909905 8964559 11073867 18456445 23729715 26893677 33221601 44822795 55369335 62751913 80681031 134468385 166108005 188255739 313759565 403405155 564767217 941278695 2823836085