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2878112 = 25531697
BaseRepresentation
bin1010111110101010100000
312102020000202
422332222200
51214044422
6141404332
733314666
oct12765240
95366022
102878112
111696406
12b696a8
1379a033
1454cc36
153bcb92
hex2beaa0

2878112 has 24 divisors (see below), whose sum is σ = 5776596. Its totient is φ = 1411072.

The previous prime is 2878093. The next prime is 2878123. The reversal of 2878112 is 2118782.

2878112 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 2421136 + 456976 = 1556^2 + 676^2 .

It is a zygodrome in base 4.

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 3 ways as a sum of consecutive naturals, for example, 848 + ... + 2544.

22878112 is an apocalyptic number.

It is a pronic number, being equal to 1696×1697.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2878112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888298).

2878112 is an abundant number, since it is smaller than the sum of its proper divisors (2898484).

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

2878112 is a wasteful number, since it uses less digits than its factorization.

2878112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its digits is 1792, while the sum is 29.

The square root of 2878112 is about 1696.4999263189. The cubic root of 2878112 is about 142.2446355012.

The spelling of 2878112 in words is "two million, eight hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 1697 3394 6788 13576 27152 54304 89941 179882 359764 719528 1439056 2878112