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726405413 is a prime number
BaseRepresentation
bin101011010011000…
…001000100100101
31212121212012220012
4223103001010211
52441424433123
6200025220005
724000226016
oct5323010445
91777765805
10726405413
11343045158
12183331605
13b76561b6
146c68d00d
1543b8b378
hex2b4c1125

726405413 has 2 divisors, whose sum is σ = 726405414. Its totient is φ = 726405412.

The previous prime is 726405409. The next prime is 726405419. The reversal of 726405413 is 314504627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 525418084 + 200987329 = 22922^2 + 14177^2 .

It is an emirp because it is prime and its reverse (314504627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726405413 - 22 = 726405409 is a prime.

It is a Chen prime.

It is equal to p37548302 and since 726405413 and 37548302 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 726405413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726405419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363202706 + 363202707.

It is an arithmetic number, because the mean of its divisors is an integer number (363202707).

Almost surely, 2726405413 is an apocalyptic number.

It is an amenable number.

726405413 is a deficient number, since it is larger than the sum of its proper divisors (1).

726405413 is an equidigital number, since it uses as much as digits as its factorization.

726405413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 726405413 is about 26951.9092644658. The cubic root of 726405413 is about 898.9309994913.

The spelling of 726405413 in words is "seven hundred twenty-six million, four hundred five thousand, four hundred thirteen".