[go: up one dir, main page]

Search a number
-
+
768233505 = 351311173527
BaseRepresentation
bin101101110010100…
…101000000100001
31222112120022020210
4231302211000201
53033131433010
6204121524333
725015606554
oct5562450041
91875508223
10768233505
11364714226
121953436a9
13c320cb50
147405a69b
154769eb20
hex2dca5021

768233505 has 32 divisors (see below), whose sum is σ = 1325286144. Its totient is φ = 377761536.

The previous prime is 768233503. The next prime is 768233527. The reversal of 768233505 is 505332867.

It is not a de Polignac number, because 768233505 - 21 = 768233503 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (768233503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216052 + ... + 219578.

It is an arithmetic number, because the mean of its divisors is an integer number (41415192).

Almost surely, 2768233505 is an apocalyptic number.

It is an amenable number.

768233505 is a deficient number, since it is larger than the sum of its proper divisors (557052639).

768233505 is a wasteful number, since it uses less digits than its factorization.

768233505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665.

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 768233505 is about 27717.0255438783. The cubic root of 768233505 is about 915.8641959225.

The spelling of 768233505 in words is "seven hundred sixty-eight million, two hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 13 15 39 65 195 1117 3351 3527 5585 10581 14521 16755 17635 43563 45851 52905 72605 137553 217815 229255 687765 3939659 11818977 19698295 51215567 59094885 153646701 256077835 768233505