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5824112112 = 2433713148151
BaseRepresentation
bin1010110110010010…
…01110010111110000
3120000220002112212000
411123021032113300
543411433041422
62401530534000
7264220064460
oct53311162760
916026075760
105824112112
1125196176a5
121166597300
1371a8047b0
143d3705ba0
15241492cac
hex15b24e5f0

5824112112 has 160 divisors (see below), whose sum is σ = 20575349760. Its totient is φ = 1536019200.

The previous prime is 5824112111. The next prime is 5824112117. The reversal of 5824112112 is 2112114285.

It is a Harshad number since it is a multiple of its sum of digits (27).

5824112112 is a modest number, since divided by 112112 gives 5824 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824112111) 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, 34764 + ... + 113387.

It is an arithmetic number, because the mean of its divisors is an integer number (128595936).

Almost surely, 25824112112 is an apocalyptic number.

5824112112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5824112112 is an abundant number, since it is smaller than the sum of its proper divisors (14751237648).

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

5824112112 is a wasteful number, since it uses less digits than its factorization.

5824112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148188 (or 148176 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 5824112112 is about 76315.8706430058. The cubic root of 5824112112 is about 1799.1881227525.

Adding to 5824112112 its reverse (2112114285), we get a palindrome (7936226397).

The spelling of 5824112112 in words is "five billion, eight hundred twenty-four million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 148151 296302 444453 592604 888906 1037057 1185208 1333359 1777812 1925963 2074114 2370416 2666718 3111171 3555624 3851926 4000077 4148228 5333436 5777889 6222342 7111248 7703852 8000154 8296456 9333513 10666872 11555778 12444684 13481741 15407704 16000308 16592912 17333667 18667026 21333744 23111556 24889368 26963482 28000539 30815408 32000616 34667334 37334052 40445223 46223112 49778736 52001001 53926964 56001078 64001232 69334668 74668104 80890446 92446224 104002002 107853928 112002156 121335669 138669336 149336208 161780892 208004004 215707856 224004312 242671338 277338672 323561784 364007007 416008008 448008624 485342676 647123568 728014014 832016016 970685352 1456028028 1941370704 2912056056 5824112112