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405041089 is a prime number
BaseRepresentation
bin11000001001000…
…110111111000001
31001020011012220211
4120021012333001
51312142303324
6104105234121
713015535545
oct3011067701
91036135824
10405041089
111986a9402
12b3792941
1365bb7cab
143bb17a25
152585c294
hex18246fc1

405041089 has 2 divisors, whose sum is σ = 405041090. Its totient is φ = 405041088.

The previous prime is 405041083. The next prime is 405041111. The reversal of 405041089 is 980140504.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330512400 + 74528689 = 18180^2 + 8633^2 .

It is a cyclic number.

It is not a de Polignac number, because 405041089 - 23 = 405041081 is a prime.

It is equal to p21590644 and since 405041089 and 21590644 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 405041089.

It is not a weakly prime, because it can be changed into another prime (405041081) 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, 202520544 + 202520545.

It is an arithmetic number, because the mean of its divisors is an integer number (202520545).

Almost surely, 2405041089 is an apocalyptic number.

It is an amenable number.

405041089 is a deficient number, since it is larger than the sum of its proper divisors (1).

405041089 is an equidigital number, since it uses as much as digits as its factorization.

405041089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 405041089 is about 20125.6326360192. The cubic root of 405041089 is about 739.8886422402. Note that the first 3 decimals are identical.

The spelling of 405041089 in words is "four hundred five million, forty-one thousand, eighty-nine".