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27990585 = 3257175227
BaseRepresentation
bin110101011000…
…1101000111001
31221200001212100
41222301220321
524131144320
62435534013
7456626130
oct152615071
957601770
1027990585
1114888817
12945a309
135a5049c
143a08917
1526cd790
hex1ab1a39

27990585 has 48 divisors (see below), whose sum is σ = 58720896. Its totient is φ = 12040704.

The previous prime is 27990581. The next prime is 27990587. The reversal of 27990585 is 58509972.

It is a happy number.

It is not a de Polignac number, because 27990585 - 22 = 27990581 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 27990585.

It is not an unprimeable number, because it can be changed into a prime (27990581) 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, 2742 + ... + 7968.

It is an arithmetic number, because the mean of its divisors is an integer number (1223352).

Almost surely, 227990585 is an apocalyptic number.

It is an amenable number.

27990585 is an abundant number, since it is smaller than the sum of its proper divisors (30730311).

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

27990585 is a wasteful number, since it uses less digits than its factorization.

27990585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 27990585 is about 5290.6129134534. The cubic root of 27990585 is about 303.6248582707.

The spelling of 27990585 in words is "twenty-seven million, nine hundred ninety thousand, five hundred 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 5227 5355 15681 26135 36589 47043 78405 88859 109767 182945 235215 266577 329301 444295 548835 622013 799731 1332885 1646505 1866039 3110065 3998655 5598117 9330195 27990585