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409902041 is a prime number
BaseRepresentation
bin11000011011101…
…001101111011001
31001120022011220002
4120123221233121
51314413331131
6104401342345
713105052453
oct3033515731
91046264802
10409902041
111a041951a
12b53379b5
1366bca6b3
143c6212d3
1525ebc6cb
hex186e9bd9

409902041 has 2 divisors, whose sum is σ = 409902042. Its totient is φ = 409902040.

The previous prime is 409902023. The next prime is 409902071. The reversal of 409902041 is 140209904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 390892441 + 19009600 = 19771^2 + 4360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-409902041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 409901995 and 409902013.

It is not a weakly prime, because it can be changed into another prime (409902071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204951020 + 204951021.

It is an arithmetic number, because the mean of its divisors is an integer number (204951021).

Almost surely, 2409902041 is an apocalyptic number.

It is an amenable number.

409902041 is a deficient number, since it is larger than the sum of its proper divisors (1).

409902041 is an equidigital number, since it uses as much as digits as its factorization.

409902041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 409902041 is about 20246.0376617253. The cubic root of 409902041 is about 742.8367141166.

The spelling of 409902041 in words is "four hundred nine million, nine hundred two thousand, forty-one".