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85262985 = 32537411249
BaseRepresentation
bin1010001010100…
…00001010001001
312221102210211100
411011100022021
5133311403420
612243252013
72053503063
oct505201211
9187383740
1085262985
1144146385
122467a009
1314883a92
14b476733
157743190
hex5150289

85262985 has 48 divisors (see below), whose sum is σ = 155610000. Its totient is φ = 43130880.

The previous prime is 85262981. The next prime is 85262993. The reversal of 85262985 is 58926258.

It can be written as a sum of positive squares in 8 ways, for example, as 2471184 + 82791801 = 1572^2 + 9099^2 .

It is not a de Polignac number, because 85262985 - 22 = 85262981 is a prime.

It is a super-2 number, since 2×852629852 = 14539553222220450, which contains 22 as substring.

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 85262985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85262981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67641 + ... + 68889.

It is an arithmetic number, because the mean of its divisors is an integer number (3241875).

Almost surely, 285262985 is an apocalyptic number.

It is an amenable number.

85262985 is a deficient number, since it is larger than the sum of its proper divisors (70347015).

85262985 is a wasteful number, since it uses less digits than its factorization.

85262985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1335 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 85262985 is about 9233.7958067092. The cubic root of 85262985 is about 440.1359514466.

It can be divided in two parts, 8526 and 2985, that added together give a palindrome (11511).

The spelling of 85262985 in words is "eighty-five million, two hundred sixty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 37 41 45 111 123 185 205 333 369 555 615 1249 1517 1665 1845 3747 4551 6245 7585 11241 13653 18735 22755 46213 51209 56205 68265 138639 153627 231065 256045 415917 460881 693195 768135 1894733 2079585 2304405 5684199 9473665 17052597 28420995 85262985