Search a number
-
+
409948969 is a prime number
BaseRepresentation
bin11000011011110…
…101001100101001
31001120101120021011
4120123311030221
51314421331334
6104402343521
713105336333
oct3033651451
91046346234
10409948969
111a0450801
12b535aba1
1366c15b71
143c634453
1525ecb564
hex186f5329

409948969 has 2 divisors, whose sum is σ = 409948970. Its totient is φ = 409948968.

The previous prime is 409948963. The next prime is 409949009. The reversal of 409948969 is 969849904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404010000 + 5938969 = 20100^2 + 2437^2 .

It is a cyclic number.

It is not a de Polignac number, because 409948969 - 27 = 409948841 is a prime.

It is a super-2 number, since 2×4099489692 = 336116314368325922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (409948963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204974484 + 204974485.

It is an arithmetic number, because the mean of its divisors is an integer number (204974485).

Almost surely, 2409948969 is an apocalyptic number.

It is an amenable number.

409948969 is a deficient number, since it is larger than the sum of its proper divisors (1).

409948969 is an equidigital number, since it uses as much as digits as its factorization.

409948969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5038848, while the sum is 58.

The square root of 409948969 is about 20247.1965713775. The cubic root of 409948969 is about 742.8650611424.

The spelling of 409948969 in words is "four hundred nine million, nine hundred forty-eight thousand, nine hundred sixty-nine".