Search a number
-
+
382112641 is a prime number
BaseRepresentation
bin10110110001101…
…001001110000001
3222122000100000001
4112301221032001
51240310101031
6101530000001
712316622011
oct2661511601
9878010001
10382112641
11186768979
12a7b76001
136121a971
1438a69c41
152382d861
hex16c69381

382112641 has 2 divisors, whose sum is σ = 382112642. Its totient is φ = 382112640.

The previous prime is 382112623. The next prime is 382112683. The reversal of 382112641 is 146211283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 234733041 + 147379600 = 15321^2 + 12140^2 .

It is a cyclic number.

It is not a de Polignac number, because 382112641 - 25 = 382112609 is a prime.

It is not a weakly prime, because it can be changed into another prime (382119641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191056320 + 191056321.

It is an arithmetic number, because the mean of its divisors is an integer number (191056321).

Almost surely, 2382112641 is an apocalyptic number.

It is an amenable number.

382112641 is a deficient number, since it is larger than the sum of its proper divisors (1).

382112641 is an equidigital number, since it uses as much as digits as its factorization.

382112641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 28.

The square root of 382112641 is about 19547.7016807603. The cubic root of 382112641 is about 725.6554617664.

The spelling of 382112641 in words is "three hundred eighty-two million, one hundred twelve thousand, six hundred forty-one".