Search a number
-
+
8442705075 = 3527314431171
BaseRepresentation
bin1111101110011100…
…10111010010110011
3210210101102212002120
413313032113102303
5114242313030300
63513432245323
7416134544340
oct76716272263
923711385076
108442705075
113642761312
121777540843
13a4718759c
145a13c77c7
153462e73a0
hex1f73974b3

8442705075 has 96 divisors (see below), whose sum is σ = 16518561792. Its totient is φ = 3723408000.

The previous prime is 8442705017. The next prime is 8442705091. The reversal of 8442705075 is 5705072448.

8442705075 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8442705075 - 212 = 8442700979 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7209240 + ... + 7210410.

It is an arithmetic number, because the mean of its divisors is an integer number (172068352).

Almost surely, 28442705075 is an apocalyptic number.

8442705075 is a deficient number, since it is larger than the sum of its proper divisors (8075856717).

8442705075 is a wasteful number, since it uses less digits than its factorization.

8442705075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 8442705075 is about 91884.1938257065. The cubic root of 8442705075 is about 2036.2317559407.

The spelling of 8442705075 in words is "eight billion, four hundred forty-two million, seven hundred five thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 443 465 525 651 775 1085 1171 1329 2215 2325 3101 3255 3513 5425 5855 6645 8197 9303 11075 13733 15505 16275 17565 24591 29275 33225 36301 40985 41199 46515 68665 77525 87825 96131 108903 122955 181505 204925 205995 232575 254107 288393 343325 480655 518753 544515 614775 762321 907525 1029975 1270535 1441965 1556259 2403275 2593765 2722575 3631271 3811605 6352675 7209825 7781295 10893813 12968825 16081343 18156355 19058025 38906475 48244029 54469065 80406715 90781775 112569401 241220145 272345325 337708203 402033575 562847005 1206100725 1688541015 2814235025 8442705075