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413049845 = 51311175689
BaseRepresentation
bin11000100111101…
…010001111110101
31001210020002212102
4120213222033311
51321220043340
6104553031445
713143602645
oct3047521765
91053202772
10413049845
111a217950a
12b63b5585
13677603c0
143cc00525
15263e0215
hex189ea3f5

413049845 has 16 divisors (see below), whose sum is σ = 534359280. Its totient is φ = 304694784.

The previous prime is 413049827. The next prime is 413049851. The reversal of 413049845 is 548940314.

It can be written as a sum of positive squares in 8 ways, for example, as 28654609 + 384395236 = 5353^2 + 19606^2 .

It is a cyclic number.

It is not a de Polignac number, because 413049845 - 210 = 413048821 is a prime.

It is a super-2 number, since 2×4130498452 = 341220348909048050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413049799 and 413049808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69761 + ... + 75449.

It is an arithmetic number, because the mean of its divisors is an integer number (33397455).

Almost surely, 2413049845 is an apocalyptic number.

It is an amenable number.

413049845 is a deficient number, since it is larger than the sum of its proper divisors (121309435).

413049845 is a wasteful number, since it uses less digits than its factorization.

413049845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6824.

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 413049845 is about 20323.6277519541. The cubic root of 413049845 is about 744.7333820661.

The spelling of 413049845 in words is "four hundred thirteen million, forty-nine thousand, eight hundred forty-five".

Divisors: 1 5 13 65 1117 5585 5689 14521 28445 72605 73957 369785 6354613 31773065 82609969 413049845