Search a number
-
+
404492941 is a prime number
BaseRepresentation
bin11000000111000…
…001001010001101
31001012010101000001
4120013001022031
51312022233231
6104045404301
713011063466
oct3007011215
91035111001
10404492941
11198364596
12b3569691
1365a55648
143ba13d6d
152579eb61
hex181c128d

404492941 has 2 divisors, whose sum is σ = 404492942. Its totient is φ = 404492940.

The previous prime is 404492897. The next prime is 404492953. The reversal of 404492941 is 149294404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263120841 + 141372100 = 16221^2 + 11890^2 .

It is a cyclic number.

It is not a de Polignac number, because 404492941 - 211 = 404490893 is a prime.

It is a super-2 number, since 2×4044929412 = 327229078637658962, which contains 22 as substring.

It is a Chen prime.

It is equal to p21562975 and since 404492941 and 21562975 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404492941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404492741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202246470 + 202246471.

It is an arithmetic number, because the mean of its divisors is an integer number (202246471).

Almost surely, 2404492941 is an apocalyptic number.

It is an amenable number.

404492941 is a deficient number, since it is larger than the sum of its proper divisors (1).

404492941 is an equidigital number, since it uses as much as digits as its factorization.

404492941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 404492941 is about 20112.0098697271. The cubic root of 404492941 is about 739.5547242073.

The spelling of 404492941 in words is "four hundred four million, four hundred ninety-two thousand, nine hundred forty-one".