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413461097 = 71741831021
BaseRepresentation
bin11000101001001…
…110101001101001
31001210222222222222
4120221032221221
51321321223342
6105005523425
713150234640
oct3051165151
91053888888
10413461097
111a242a495
12b6573575
136787564a
143ccaa357
1526471ed2
hex18a4ea69

413461097 has 32 divisors (see below), whose sum is σ = 519208704. Its totient is φ = 321177600.

The previous prime is 413461067. The next prime is 413461117. The reversal of 413461097 is 790164314.

It is not a de Polignac number, because 413461097 - 212 = 413457001 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (413461057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404447 + ... + 405467.

It is an arithmetic number, because the mean of its divisors is an integer number (16225272).

Almost surely, 2413461097 is an apocalyptic number.

It is an amenable number.

413461097 is a deficient number, since it is larger than the sum of its proper divisors (105747607).

413461097 is a wasteful number, since it uses less digits than its factorization.

413461097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 413461097 is about 20333.7428182811. The cubic root of 413461097 is about 744.9804640314.

The spelling of 413461097 in words is "four hundred thirteen million, four hundred sixty-one thousand, ninety-seven".

Divisors: 1 7 17 41 83 119 287 581 697 1021 1411 3403 4879 7147 9877 17357 23821 41861 57851 84743 121499 293027 404957 593201 711637 1440631 3474463 4981459 10084417 24321241 59065871 413461097