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2882112 = 26317883
BaseRepresentation
bin1010111111101001000000
312102102111220
422333221000
51214211422
6141435040
733332442
oct12775100
95372456
102882112
111699412
12b6ba80
1379babc
14550492
153bde5c
hex2bfa40

2882112 has 56 divisors (see below), whose sum is σ = 8083296. Its totient is φ = 903168.

The previous prime is 2882111. The next prime is 2882123. The reversal of 2882112 is 2112882.

2882112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2882111) 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 7 ways as a sum of consecutive naturals, for example, 2823 + ... + 3705.

22882112 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 2882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041648).

2882112 is an abundant number, since it is smaller than the sum of its proper divisors (5201184).

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

2882112 is a wasteful number, since it uses less digits than its factorization.

2882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 2882112 is about 1697.6784147771. The cubic root of 2882112 is about 142.3105021940.

Adding to 2882112 its reverse (2112882), we get a palindrome (4994994).

The spelling of 2882112 in words is "two million, eight hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 883 1088 1632 1766 2649 3264 3532 5298 7064 10596 14128 15011 21192 28256 30022 42384 45033 56512 60044 84768 90066 120088 169536 180132 240176 360264 480352 720528 960704 1441056 2882112