Search a number
-
+
418319821 is a prime number
BaseRepresentation
bin11000111011110…
…000110111001101
31002011010211220201
4120323300313031
51324042213241
6105302013501
713236442213
oct3073606715
91064124821
10418319821
111a5148967
12b8117291
136888702a
143d7b2cb3
1526ad1931
hex18ef0dcd

418319821 has 2 divisors, whose sum is σ = 418319822. Its totient is φ = 418319820.

The previous prime is 418319819. The next prime is 418319849. The reversal of 418319821 is 128913814.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384552100 + 33767721 = 19610^2 + 5811^2 .

It is a cyclic number.

It is not a de Polignac number, because 418319821 - 21 = 418319819 is a prime.

Together with 418319819, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418319861) 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 as a sum of consecutive naturals, namely, 209159910 + 209159911.

It is an arithmetic number, because the mean of its divisors is an integer number (209159911).

Almost surely, 2418319821 is an apocalyptic number.

It is an amenable number.

418319821 is a deficient number, since it is larger than the sum of its proper divisors (1).

418319821 is an equidigital number, since it uses as much as digits as its factorization.

418319821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 37.

The square root of 418319821 is about 20452.8682829573. The cubic root of 418319821 is about 747.8872814078.

The spelling of 418319821 in words is "four hundred eighteen million, three hundred nineteen thousand, eight hundred twenty-one".