Search a number
-
+
7682297058 = 2327322832
BaseRepresentation
bin1110010011110011…
…01000110011100010
3201211101121010101200
413021321220303202
5111213132001213
63310150142030
7361242306342
oct71171506342
921741533350
107682297058
113292502537
1215a4951916
13955787607
1452c406d22
152ee691273
hex1c9e68ce2

7682297058 has 54 divisors (see below), whose sum is σ = 16935957441. Its totient is φ = 2516762016.

The previous prime is 7682297039. The next prime is 7682297069. The reversal of 7682297058 is 8507922867.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7646977809 + 35319249 = 87447^2 + 5943^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=61977.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7682296995 and 7682297013.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 27145785 + ... + 27146067.

Almost surely, 27682297058 is an apocalyptic number.

7682297058 is an abundant number, since it is smaller than the sum of its proper divisors (9253660383).

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

7682297058 is an equidigital number, since it uses as much as digits as its factorization.

7682297058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7682297058 is about 87648.7139551973. The cubic root of 7682297058 is about 1973.1663423627.

The spelling of 7682297058 in words is "seven billion, six hundred eighty-two million, two hundred ninety-seven thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 73 146 219 283 438 566 657 849 1314 1698 2547 5094 5329 10658 15987 20659 31974 41318 47961 61977 80089 95922 123954 160178 185931 240267 371862 480534 720801 1441602 1508107 3016214 4524321 5846497 9048642 11692994 13572963 17539491 27145926 35078982 52618473 105236946 426794281 853588562 1280382843 2560765686 3841148529 7682297058