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2816268 = 2237132579
BaseRepresentation
bin1010101111100100001100
312022002012020
422233210030
51210110033
6140210140
732636460
oct12574414
95262166
102816268
1116539a4
12b39950
13777b40
145344a0
153a96b3
hex2af90c

2816268 has 48 divisors (see below), whose sum is σ = 8090880. Its totient is φ = 742464.

The previous prime is 2816263. The next prime is 2816269. The reversal of 2816268 is 8626182.

2816268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816263) by changing a digit.

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, 198 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (168560).

22816268 is an apocalyptic number.

2816268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045440).

2816268 is an abundant number, since it is smaller than the sum of its proper divisors (5274612).

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

2816268 is a wasteful number, since it uses less digits than its factorization.

2816268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2604 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2816268 is about 1678.1740076643. The cubic root of 2816268 is about 141.2184130690.

The spelling of 2816268 in words is "two million, eight hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2579 5158 7737 10316 15474 18053 30948 33527 36106 54159 67054 72212 100581 108318 134108 201162 216636 234689 402324 469378 704067 938756 1408134 2816268