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2808936 = 2332133001
BaseRepresentation
bin1010101101110001101000
312021201010200
422231301220
51204341221
6140112200
732606214
oct12556150
95251120
102808936
111649439
12b35660
137746c0
14531944
153a7426
hex2adc68

2808936 has 48 divisors (see below), whose sum is σ = 8195460. Its totient is φ = 864000.

The previous prime is 2808919. The next prime is 2808959. The reversal of 2808936 is 6398082.

2808936 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 2 ways, for example, as 2722500 + 86436 = 1650^2 + 294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2808936.

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 11 ways as a sum of consecutive naturals, for example, 565 + ... + 2436.

22808936 is an apocalyptic number.

2808936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2808936 is an abundant number, since it is smaller than the sum of its proper divisors (5386524).

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

2808936 is a wasteful number, since it uses less digits than its factorization.

2808936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2808936 is about 1675.9880667833. The cubic root of 2808936 is about 141.0957550864.

It can be divided in two parts, 280 and 8936, that added together give a square (9216 = 962).

The spelling of 2808936 in words is "two million, eight hundred eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3001 6002 9003 12004 18006 24008 27009 36012 39013 54018 72024 78026 108036 117039 156052 216072 234078 312104 351117 468156 702234 936312 1404468 2808936