Search a number
-
+
3829642965 = 32585103177
BaseRepresentation
bin1110010001000011…
…1011011011010101
3100212220011000112100
43210100323123111
530320342033330
61432002312313
7163621266561
oct34420733325
910786130470
103829642965
111695808495
128aa658699
13490545a35
1428488a6a1
15176324060
hexe443b6d5

3829642965 has 12 divisors (see below), whose sum is σ = 6638047884. Its totient is φ = 2042476224.

The previous prime is 3829642933. The next prime is 3829642969. The reversal of 3829642965 is 5692469283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1290390084 + 2539252881 = 35922^2 + 50391^2 .

It is not a de Polignac number, because 3829642965 - 25 = 3829642933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829642969) 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 11 ways as a sum of consecutive naturals, for example, 42551544 + ... + 42551633.

It is an arithmetic number, because the mean of its divisors is an integer number (553170657).

Almost surely, 23829642965 is an apocalyptic number.

It is an amenable number.

3829642965 is a deficient number, since it is larger than the sum of its proper divisors (2808404919).

3829642965 is a wasteful number, since it uses less digits than its factorization.

3829642965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85103188 (or 85103185 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3829642965 is about 61884.1091476641. The cubic root of 3829642965 is about 1564.5379269854.

The spelling of 3829642965 in words is "three billion, eight hundred twenty-nine million, six hundred forty-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 85103177 255309531 425515885 765928593 1276547655 3829642965