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9082552809 = 3117118612083
BaseRepresentation
bin10000111010101110…
…01100000111101001
3212102222102111011210
420131113030013221
5122100113142214
64101130343333
7441034265541
oct103527140751
925388374153
109082552809
1139409563a0
12191588ab49
13b198c5605
14622384321
15382586b59
hex21d5cc1e9

9082552809 has 32 divisors (see below), whose sum is σ = 13410690048. Its totient is φ = 5421528000.

The previous prime is 9082552799. The next prime is 9082552811.

9082552809 is nontrivially palindromic in base 10.

9082552809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9082552809 - 213 = 9082544617 is a prime.

It is a super-3 number, since 3×90825528093 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9082552859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4359282 + ... + 4361364.

It is an arithmetic number, because the mean of its divisors is an integer number (419084064).

Almost surely, 29082552809 is an apocalyptic number.

It is an amenable number.

9082552809 is a deficient number, since it is larger than the sum of its proper divisors (4328137239).

9082552809 is a wasteful number, since it uses less digits than its factorization.

9082552809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029.

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 9082552809 is about 95302.4281380071. The cubic root of 9082552809 is about 2086.4243562291.

The spelling of 9082552809 in words is "nine billion, eighty-two million, five hundred fifty-two thousand, eight hundred nine".

Divisors: 1 3 11 33 71 213 781 1861 2083 2343 5583 6249 20471 22913 61413 68739 132131 147893 396393 443679 1453441 1626823 3876463 4360323 4880469 11629389 42641093 127923279 275228873 825686619 3027517603 9082552809