Search a number
-
+
405627421 is a prime number
BaseRepresentation
bin11000001011010…
…110001000011101
31001021021000012211
4120023112020131
51312320034141
6104130000421
713023530143
oct3013261035
91037230184
10405627421
11198a69981
12b3a16111
1366061b34
143bc2b593
1525925d81
hex182d621d

405627421 has 2 divisors, whose sum is σ = 405627422. Its totient is φ = 405627420.

The previous prime is 405627401. The next prime is 405627427. The reversal of 405627421 is 124726504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399800025 + 5827396 = 19995^2 + 2414^2 .

It is a cyclic number.

It is not a de Polignac number, because 405627421 - 211 = 405625373 is a prime.

It is a super-2 number, since 2×4056274212 = 329067209334222482, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405627427) 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, 202813710 + 202813711.

It is an arithmetic number, because the mean of its divisors is an integer number (202813711).

Almost surely, 2405627421 is an apocalyptic number.

It is an amenable number.

405627421 is a deficient number, since it is larger than the sum of its proper divisors (1).

405627421 is an equidigital number, since it uses as much as digits as its factorization.

405627421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 405627421 is about 20140.1941649032. The cubic root of 405627421 is about 740.2454877031.

The spelling of 405627421 in words is "four hundred five million, six hundred twenty-seven thousand, four hundred twenty-one".