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405115309 is a prime number
BaseRepresentation
bin11000001001011…
…001000110101101
31001020021222201201
4120021121012231
51312202142214
6104111005501
713016265124
oct3011310655
91036258651
10405115309
1119874a145
12b3809891
1365c12a01
143bb36abb
1525874274
hex182591ad

405115309 has 2 divisors, whose sum is σ = 405115310. Its totient is φ = 405115308.

The previous prime is 405115259. The next prime is 405115313. The reversal of 405115309 is 903511504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395015625 + 10099684 = 19875^2 + 3178^2 .

It is a cyclic number.

It is not a de Polignac number, because 405115309 - 29 = 405114797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405115339) 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, 202557654 + 202557655.

It is an arithmetic number, because the mean of its divisors is an integer number (202557655).

Almost surely, 2405115309 is an apocalyptic number.

It is an amenable number.

405115309 is a deficient number, since it is larger than the sum of its proper divisors (1).

405115309 is an equidigital number, since it uses as much as digits as its factorization.

405115309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 405115309 is about 20127.4764687479. The cubic root of 405115309 is about 739.9338320433.

The spelling of 405115309 in words is "four hundred five million, one hundred fifteen thousand, three hundred nine".