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2808090 = 232541761
BaseRepresentation
bin1010101101100100011010
312021122222100
422231210122
51204324330
6140104230
732603565
oct12554432
95248870
102808090
11164883a
12b35076
137741bc
145314dc
153a7060
hex2ad91a

2808090 has 48 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 729600.

The previous prime is 2808083. The next prime is 2808101. The reversal of 2808090 is 908082.

2808090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 549081 + 2259009 = 741^2 + 1503^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3310 + ... + 4070.

22808090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468).

2808090 is an abundant number, since it is smaller than the sum of its proper divisors (4680846).

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

2808090 is a wasteful number, since it uses less digits than its factorization.

2808090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2808090 is about 1675.7356593449. The cubic root of 2808090 is about 141.0815885130.

The spelling of 2808090 in words is "two million, eight hundred eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 761 1230 1522 1845 2283 3690 3805 4566 6849 7610 11415 13698 22830 31201 34245 62402 68490 93603 156005 187206 280809 312010 468015 561618 936030 1404045 2808090