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849489316 = 22132192592
BaseRepresentation
bin110010101000100…
…010110110100100
32012012110112021021
4302220202312210
53214432124231
6220143300524
730023353144
oct6250426644
92165415237
10849489316
113a6572995
121b85aa744
13106cbca00
1480b6c924
154e8a0811
hex32a22da4

849489316 has 81 divisors (see below), whose sum is σ = 1728224001. Its totient is φ = 365141088.

The previous prime is 849489301. The next prime is 849489317. The reversal of 849489316 is 613984948.

It is a happy number.

The square root of 849489316 is 29146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 125664100 + 723825216 = 11210^2 + 26904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (849489317) 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 26 ways as a sum of consecutive naturals, for example, 14398095 + ... + 14398153.

Almost surely, 2849489316 is an apocalyptic number.

849489316 is the 29146-th square number.

It is an amenable number.

849489316 is an abundant number, since it is smaller than the sum of its proper divisors (878734685).

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

849489316 is a wasteful number, since it uses less digits than its factorization.

849489316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The cubic root of 849489316 is about 947.0784914426.

The spelling of 849489316 in words is "eight hundred forty-nine million, four hundred eighty-nine thousand, three hundred sixteen".

Divisors: 1 2 4 13 19 26 38 52 59 76 118 169 236 247 338 361 494 676 722 767 988 1121 1444 1534 2242 3068 3211 3481 4484 4693 6422 6962 9386 9971 12844 13924 14573 18772 19942 21299 29146 39884 42598 45253 58292 61009 66139 85196 90506 122018 132278 181012 189449 244036 264556 276887 378898 553774 588289 757796 859807 1107548 1176578 1256641 1719614 2353156 2513282 3439228 3599531 5026564 7199062 11177491 14398124 16336333 22354982 32672666 44709964 65345332 212372329 424744658 849489316