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5306008092 = 22371123249671
BaseRepresentation
bin1001111000100001…
…10100001000011100
3111200210012010202020
410330100310020130
541331314224332
62234302100140
7245326216230
oct47420641034
914623163666
105306008092
112283115460
121040b7a650
13667381278
1438499a5c0
15210c5082c
hex13c43421c

5306008092 has 96 divisors (see below), whose sum is σ = 16106840064. Its totient is φ = 1318257600.

The previous prime is 5306008087. The next prime is 5306008093. The reversal of 5306008092 is 2908006035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306008093) 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 31 ways as a sum of consecutive naturals, for example, 103584 + ... + 146087.

It is an arithmetic number, because the mean of its divisors is an integer number (167779584).

Almost surely, 25306008092 is an apocalyptic number.

It is an amenable number.

5306008092 is an abundant number, since it is smaller than the sum of its proper divisors (10800831972).

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

5306008092 is a wasteful number, since it uses less digits than its factorization.

5306008092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249719 (or 249717 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5306008092 is about 72842.3509505288. The cubic root of 5306008092 is about 1744.1719693894.

The spelling of 5306008092 in words is "five billion, three hundred six million, eight thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 21252 249671 499342 749013 998684 1498026 1747697 2746381 2996052 3495394 5243091 5492762 5742433 6990788 8239143 10486182 10985524 11484866 16478286 17227299 19224667 20972364 22969732 32956572 34454598 38449334 40197031 57674001 63166763 68909196 76898668 80394062 115348002 120591093 126333526 160788124 189500289 230696004 241182186 252667052 379000578 442167341 482364372 758001156 884334682 1326502023 1768669364 2653004046 5306008092