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849923816 = 2373734243
BaseRepresentation
bin110010101010001…
…100111011101000
32012020021121021212
4302222030323220
53220040030231
6220200452252
730030143000
oct6252147350
92166247255
10849923816
113a683a385
121b877a088
13107112701
1480c43000
154e93942b
hex32a8cee8

849923816 has 64 divisors (see below), whose sum is σ = 1884336000. Its totient is φ = 359178624.

The previous prime is 849923813. The next prime is 849923831. The reversal of 849923816 is 618329948.

It is a happy number.

849923816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (849923813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198191 + ... + 202433.

It is an arithmetic number, because the mean of its divisors is an integer number (29442750).

Almost surely, 2849923816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849923816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942168000).

849923816 is an abundant number, since it is smaller than the sum of its proper divisors (1034412184).

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

849923816 is a wasteful number, since it uses less digits than its factorization.

849923816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4325 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 849923816 is about 29153.4529001283. The cubic root of 849923816 is about 947.2399356802.

The spelling of 849923816 in words is "eight hundred forty-nine million, nine hundred twenty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 343 392 511 584 686 1022 1372 2044 2744 3577 4088 4243 7154 8486 14308 16972 25039 28616 29701 33944 50078 59402 100156 118804 200312 207907 237608 309739 415814 619478 831628 1238956 1455349 1663256 2168173 2477912 2910698 4336346 5821396 8672692 11642792 15177211 17345384 30354422 60708844 106240477 121417688 212480954 424961908 849923816