Search a number
-
+
428809441 is a prime number
BaseRepresentation
bin11001100011110…
…001110011100001
31002212212202222011
4121203301303201
51334233400231
6110314512521
713424551204
oct3143616341
91085782864
10428809441
11200062975
12bb735741
136aaba6c8
1440d4393b
15279a49b1
hex198f1ce1

428809441 has 2 divisors, whose sum is σ = 428809442. Its totient is φ = 428809440.

The previous prime is 428809439. The next prime is 428809471. The reversal of 428809441 is 144908824.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 427662400 + 1147041 = 20680^2 + 1071^2 .

It is a cyclic number.

It is not a de Polignac number, because 428809441 - 21 = 428809439 is a prime.

Together with 428809439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 428809394 and 428809403.

It is not a weakly prime, because it can be changed into another prime (428809421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214404720 + 214404721.

It is an arithmetic number, because the mean of its divisors is an integer number (214404721).

Almost surely, 2428809441 is an apocalyptic number.

It is an amenable number.

428809441 is a deficient number, since it is larger than the sum of its proper divisors (1).

428809441 is an equidigital number, since it uses as much as digits as its factorization.

428809441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 428809441 is about 20707.7145286485. The cubic root of 428809441 is about 754.0869866363.

The spelling of 428809441 in words is "four hundred twenty-eight million, eight hundred nine thousand, four hundred forty-one".