Search a number
-
+
849393468 = 2232711306419
BaseRepresentation
bin110010101000001…
…011011100111100
32012012021122210100
4302220023130330
53214421042333
6220141241100
730022503540
oct6250133474
92165248710
10849393468
113a6507980
121b8563190
13106c881b1
1480b45a20
154e882213
hex32a0b73c

849393468 has 72 divisors (see below), whose sum is σ = 2676885120. Its totient is φ = 220620960.

The previous prime is 849393449. The next prime is 849393539. The reversal of 849393468 is 864393948.

It is a happy number.

849393468 is a `hidden beast` number, since 8 + 4 + 93 + 93 + 468 = 666.

849393468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150438 + ... + 155981.

It is an arithmetic number, because the mean of its divisors is an integer number (37178960).

Almost surely, 2849393468 is an apocalyptic number.

It is an amenable number.

849393468 is an abundant number, since it is smaller than the sum of its proper divisors (1827491652).

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

849393468 is a wasteful number, since it uses less digits than its factorization.

849393468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306447 (or 306442 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 849393468 is about 29144.3556799597. The cubic root of 849393468 is about 947.0428704360.

The spelling of 849393468 in words is "eight hundred forty-nine million, three hundred ninety-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 306419 612838 919257 1225676 1838514 2144933 2757771 3370609 3677028 4289866 5515542 6434799 6741218 8579732 10111827 11031084 12869598 13482436 19304397 20223654 23594263 25739196 30335481 38608794 40447308 47188526 60670962 70782789 77217588 94377052 121341924 141565578 212348367 283131156 424696734 849393468