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414587093 is a prime number
BaseRepresentation
bin11000101101100…
…001100011010101
31001220010012120112
4120231201203111
51322113241333
6105050012405
713162634504
oct3055414325
91056105515
10414587093
111a3029468
12b6a17105
1367b7b00b
143d0c083b
15265e5948
hex18b618d5

414587093 has 2 divisors, whose sum is σ = 414587094. Its totient is φ = 414587092.

The previous prime is 414587081. The next prime is 414587101. The reversal of 414587093 is 390785414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 317623684 + 96963409 = 17822^2 + 9847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414587093 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414587093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414587053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207293546 + 207293547.

It is an arithmetic number, because the mean of its divisors is an integer number (207293547).

Almost surely, 2414587093 is an apocalyptic number.

It is an amenable number.

414587093 is a deficient number, since it is larger than the sum of its proper divisors (1).

414587093 is an equidigital number, since it uses as much as digits as its factorization.

414587093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 414587093 is about 20361.4118616564. The cubic root of 414587093 is about 745.6561299254.

The spelling of 414587093 in words is "four hundred fourteen million, five hundred eighty-seven thousand, ninety-three".