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414838709 = 1737659521
BaseRepresentation
bin11000101110011…
…110111110110101
31001220120222201122
4120232132332311
51322144314314
6105055233325
713165033205
oct3056367665
91056528648
10414838709
111a319050a
12b6b18845
1367c386bc
143d148405
152664528e
hex18b9efb5

414838709 has 8 divisors (see below), whose sum is σ = 451113048. Its totient is φ = 379883520.

The previous prime is 414838703. The next prime is 414838727. The reversal of 414838709 is 907838414.

It can be written as a sum of positive squares in 4 ways, for example, as 91738084 + 323100625 = 9578^2 + 17975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414838709 - 28 = 414838453 is a prime.

It is a Duffinian number.

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 414838709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414838703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329132 + ... + 330389.

It is an arithmetic number, because the mean of its divisors is an integer number (56389131).

Almost surely, 2414838709 is an apocalyptic number.

It is an amenable number.

414838709 is a deficient number, since it is larger than the sum of its proper divisors (36274339).

414838709 is a wasteful number, since it uses less digits than its factorization.

414838709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659575.

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 414838709 is about 20367.5896708472. The cubic root of 414838709 is about 745.8069475083.

The spelling of 414838709 in words is "four hundred fourteen million, eight hundred thirty-eight thousand, seven hundred nine".

Divisors: 1 17 37 629 659521 11211857 24402277 414838709