Search a number
-
+
8077612338 = 2329713733769
BaseRepresentation
bin1111000010111011…
…01001010100110010
3202211221110020000100
413201131221110302
5113020332043323
63413311133230
7404112400125
oct74135512462
922757406010
108077612338
113475668784
121695214216
139b9648793
14568b0c3bc
1532422b943
hex1e1769532

8077612338 has 48 divisors (see below), whose sum is σ = 17811513720. Its totient is φ = 2645250048.

The previous prime is 8077612337. The next prime is 8077612391. The reversal of 8077612338 is 8332167708.

It can be written as a sum of positive squares in 4 ways, for example, as 7806252609 + 271359729 = 88353^2 + 16473^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8077612293 and 8077612302.

It is not an unprimeable number, because it can be changed into a prime (8077612337) 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 23 ways as a sum of consecutive naturals, for example, 222318 + ... + 256086.

Almost surely, 28077612338 is an apocalyptic number.

8077612338 is an abundant number, since it is smaller than the sum of its proper divisors (9733901382).

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

8077612338 is a wasteful number, since it uses less digits than its factorization.

8077612338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34011 (or 34008 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8077612338 is about 89875.5380401141. The cubic root of 8077612338 is about 2006.4468913006.

The spelling of 8077612338 in words is "eight billion, seventy-seven million, six hundred twelve thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 97 137 194 274 291 411 582 822 873 1233 1746 2466 13289 26578 33769 39867 67538 79734 101307 119601 202614 239202 303921 607842 3275593 4626353 6551186 9252706 9826779 13879059 19653558 27758118 29480337 41637177 58960674 83274354 448756241 897512482 1346268723 2692537446 4038806169 8077612338