Search a number
-
+
2816044 = 2271141223
BaseRepresentation
bin1010101111100000101100
312022001212221
422233200230
51210103134
6140205124
732636020
oct12574054
95261787
102816044
111653810
12b397a4
137779ca
14534380
153a95b4
hex2af82c

2816044 has 48 divisors (see below), whose sum is σ = 6322176. Its totient is φ = 1065600.

The previous prime is 2816029. The next prime is 2816053. The reversal of 2816044 is 4406182.

2816044 = T109 + T110 + ... + T262.

2816044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 12517 + ... + 12739.

It is an arithmetic number, because the mean of its divisors is an integer number (131712).

22816044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161088).

2816044 is an abundant number, since it is smaller than the sum of its proper divisors (3506132).

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

2816044 is a wasteful number, since it uses less digits than its factorization.

2816044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2816044 is about 1678.1072671316. The cubic root of 2816044 is about 141.2146688984.

The spelling of 2816044 in words is "two million, eight hundred sixteen thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 223 287 308 446 451 574 892 902 1148 1561 1804 2453 3122 3157 4906 6244 6314 9143 9812 12628 17171 18286 34342 36572 64001 68684 100573 128002 201146 256004 402292 704011 1408022 2816044