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411642405 = 3451016401
BaseRepresentation
bin11000100010010…
…010101000100101
31001200120121020000
4120202102220211
51320340024110
6104502531513
713125621426
oct3042225045
91050517200
10411642405
111a13a8039
12b5a36b99
13673898b5
143c95564d
15262131c0
hex18892a25

411642405 has 20 divisors (see below), whose sum is σ = 737907852. Its totient is φ = 219542400.

The previous prime is 411642383. The next prime is 411642421. The reversal of 411642405 is 504246114.

411642405 is a `hidden beast` number, since 4 + 11 + 642 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286895844 + 124746561 = 16938^2 + 11169^2 .

It is not a de Polignac number, because 411642405 - 214 = 411626021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 507796 + ... + 508605.

Almost surely, 2411642405 is an apocalyptic number.

411642405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411642405 is a deficient number, since it is larger than the sum of its proper divisors (326265447).

411642405 is a wasteful number, since it uses less digits than its factorization.

411642405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016418 (or 1016409 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 411642405 is about 20288.9724973938. The cubic root of 411642405 is about 743.8865429228.

Adding to 411642405 its reverse (504246114), we get a palindrome (915888519).

The spelling of 411642405 in words is "four hundred eleven million, six hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1016401 3049203 5082005 9147609 15246015 27442827 45738045 82328481 137214135 411642405