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80838585 = 3251796413
BaseRepresentation
bin1001101000101…
…11111110111001
312122010000200200
410310113332321
5131143313320
612004352413
72001055002
oct464277671
9178100620
1080838585
11416a4253
12230a5709
1313994ca9
14aa441a9
15716c290
hex4d17fb9

80838585 has 12 divisors (see below), whose sum is σ = 140120292. Its totient is φ = 43113888.

The previous prime is 80838551. The next prime is 80838601. The reversal of 80838585 is 58583808.

It can be written as a sum of positive squares in 2 ways, for example, as 13860729 + 66977856 = 3723^2 + 8184^2 .

It is not a de Polignac number, because 80838585 - 211 = 80836537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1796413 = 80838585 / (8 + 0 + 8 + 3 + 8 + 5 + 8 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 80838585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898162 + ... + 898251.

It is an arithmetic number, because the mean of its divisors is an integer number (11676691).

Almost surely, 280838585 is an apocalyptic number.

It is an amenable number.

80838585 is a deficient number, since it is larger than the sum of its proper divisors (59281707).

80838585 is a wasteful number, since it uses less digits than its factorization.

80838585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796424 (or 1796421 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 80838585 is about 8991.0280279843. The cubic root of 80838585 is about 432.3872716776.

It can be divided in two parts, 808 and 38585, that added together give a palindrome (39393).

The spelling of 80838585 in words is "eighty million, eight hundred thirty-eight thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 1796413 5389239 8982065 16167717 26946195 80838585