Search a number
-
+
409948841 is a prime number
BaseRepresentation
bin11000011011110…
…101001010101001
31001120101120002102
4120123311022221
51314421330331
6104402343145
713105336061
oct3033651251
91046346072
10409948841
111a04506a5
12b535aab5
1366c15aa3
143c6343a1
1525ecb4cb
hex186f52a9

409948841 has 2 divisors, whose sum is σ = 409948842. Its totient is φ = 409948840.

The previous prime is 409948811. The next prime is 409948859. The reversal of 409948841 is 148849904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229825600 + 180123241 = 15160^2 + 13421^2 .

It is a cyclic number.

It is not a de Polignac number, because 409948841 - 210 = 409947817 is a prime.

It is not a weakly prime, because it can be changed into another prime (409948811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204974420 + 204974421.

It is an arithmetic number, because the mean of its divisors is an integer number (204974421).

Almost surely, 2409948841 is an apocalyptic number.

It is an amenable number.

409948841 is a deficient number, since it is larger than the sum of its proper divisors (1).

409948841 is an equidigital number, since it uses as much as digits as its factorization.

409948841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 409948841 is about 20247.1934104458. The cubic root of 409948841 is about 742.8649838264.

The spelling of 409948841 in words is "four hundred nine million, nine hundred forty-eight thousand, eight hundred forty-one".