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85449 = 3713313
BaseRepresentation
bin10100110111001001
311100012210
4110313021
510213244
61455333
7504060
oct246711
9140183
1085449
1159221
1241549
132cb80
14231d7
151a4b9
hex14dc9

85449 has 16 divisors (see below), whose sum is σ = 140672. Its totient is φ = 44928.

The previous prime is 85447. The next prime is 85451. The reversal of 85449 is 94458.

It is an interprime number because it is at equal distance from previous prime (85447) and next prime (85451).

It is not a de Polignac number, because 85449 - 21 = 85447 is a prime.

It is a Curzon number.

85449 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85449.

It is not an unprimeable number, because it can be changed into a prime (85447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (8792).

285449 is an apocalyptic number.

It is an amenable number.

85449 is a deficient number, since it is larger than the sum of its proper divisors (55223).

85449 is a wasteful number, since it uses less digits than its factorization.

85449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its digits is 5760, while the sum is 30.

The square root of 85449 is about 292.3166091757. The cubic root of 85449 is about 44.0455794898.

Subtracting 85449 from its reverse (94458), we obtain a palindrome (9009).

It can be divided in two parts, 854 and 49, that added together give a triangular number (903 = T42).

The spelling of 85449 in words is "eighty-five thousand, four hundred forty-nine".

Divisors: 1 3 7 13 21 39 91 273 313 939 2191 4069 6573 12207 28483 85449