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2864016 = 243219889
BaseRepresentation
bin1010111011001110010000
312101111200200
422323032100
51213122031
6141215200
733225621
oct12731620
95344620
102864016
111686861
12b61500
137937ac
14547a48
153b88e6
hex2bb390

2864016 has 30 divisors (see below), whose sum is σ = 8015670. Its totient is φ = 954624.

The previous prime is 2863979. The next prime is 2864021. The reversal of 2864016 is 6104682.

2864016 is a `hidden beast` number, since 2 + 8 + 640 + 16 = 666.

2864016 is nontrivially palindromic in base 11.

2864016 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 only one way, i.e., 2822400 + 41616 = 1680^2 + 204^2 .

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 5 ways as a sum of consecutive naturals, for example, 9801 + ... + 10088.

It is an arithmetic number, because the mean of its divisors is an integer number (267189).

22864016 is an apocalyptic number.

It is an amenable number.

2864016 is an abundant number, since it is smaller than the sum of its proper divisors (5151654).

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

2864016 is a wasteful number, since it uses less digits than its factorization.

2864016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19903 (or 19894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2864016 is about 1692.3403912925. The cubic root of 2864016 is about 142.0120336294.

Adding to 2864016 its reverse (6104682), we get a palindrome (8968698).

The spelling of 2864016 in words is "two million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 19889 39778 59667 79556 119334 159112 179001 238668 318224 358002 477336 716004 954672 1432008 2864016