Search a number
-
+
3829876961 is a prime number
BaseRepresentation
bin1110010001000111…
…0100100011100001
3100212220120220111212
43210101310203201
530320422030321
61432011315505
7163623263021
oct34421644341
910786526455
103829876961
111695958279
128aa74bb95
134905c83b1
1428490ba81
1517636d55b
hexe44748e1

3829876961 has 2 divisors, whose sum is σ = 3829876962. Its totient is φ = 3829876960.

The previous prime is 3829876951. The next prime is 3829877017. The reversal of 3829876961 is 1696789283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2130376336 + 1699500625 = 46156^2 + 41225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3829876961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3829876961.

It is not a weakly prime, because it can be changed into another prime (3829876931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1914938480 + 1914938481.

It is an arithmetic number, because the mean of its divisors is an integer number (1914938481).

Almost surely, 23829876961 is an apocalyptic number.

It is an amenable number.

3829876961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3829876961 is an equidigital number, since it uses as much as digits as its factorization.

3829876961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7838208, while the sum is 59.

The square root of 3829876961 is about 61885.9997172220. Note that the first 3 decimals coincide. The cubic root of 3829876961 is about 1564.5697914145.

The spelling of 3829876961 in words is "three billion, eight hundred twenty-nine million, eight hundred seventy-six thousand, nine hundred sixty-one".