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288086051 = 111071571559
BaseRepresentation
bin10001001010111…
…101100000100011
3202002002021202202
4101022331200203
51042222223201
644330403415
710065456011
oct2112754043
9662067682
10288086051
11138687350
128059056b
13478b9026
142a3918b1
151a458c6b
hex112bd823

288086051 has 16 divisors (see below), whose sum is σ = 319438080. Its totient is φ = 257630880.

The previous prime is 288085991. The next prime is 288086081. The reversal of 288086051 is 150680882.

It is a cyclic number.

It is not a de Polignac number, because 288086051 - 214 = 288069667 is a prime.

It is a super-3 number, since 3×2880860513 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288085996 and 288086014.

It is not an unprimeable number, because it can be changed into a prime (288086081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184010 + ... + 185568.

It is an arithmetic number, because the mean of its divisors is an integer number (19964880).

Almost surely, 2288086051 is an apocalyptic number.

288086051 is a deficient number, since it is larger than the sum of its proper divisors (31352029).

288086051 is a wasteful number, since it uses less digits than its factorization.

288086051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834.

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 288086051 is about 16973.0978610270. The cubic root of 288086051 is about 660.4512150215.

The spelling of 288086051 in words is "two hundred eighty-eight million, eighty-six thousand, fifty-one".

Divisors: 1 11 107 157 1177 1559 1727 16799 17149 166813 184789 244763 1834943 2692393 26189641 288086051