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406042133 = 7733532251
BaseRepresentation
bin11000001100111…
…011011000010101
31001022001002002112
4120030323120111
51312421322013
6104142520405
713030205210
oct3014733025
91038032075
10406042133
11199222512
12b3b96105
1366178823
143bcd8777
15259a8ba8
hex1833b615

406042133 has 16 divisors (see below), whose sum is σ = 471947136. Its totient is φ = 342144000.

The previous prime is 406042129. The next prime is 406042139. The reversal of 406042133 is 331240604.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 406042133 - 22 = 406042129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406042099 and 406042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406042139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179258 + ... + 181508.

It is an arithmetic number, because the mean of its divisors is an integer number (29496696).

Almost surely, 2406042133 is an apocalyptic number.

It is an amenable number.

406042133 is a deficient number, since it is larger than the sum of its proper divisors (65905003).

406042133 is a wasteful number, since it uses less digits than its factorization.

406042133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 406042133 is about 20150.4871653268. The cubic root of 406042133 is about 740.4976765418.

Adding to 406042133 its reverse (331240604), we get a palindrome (737282737).

The spelling of 406042133 in words is "four hundred six million, forty-two thousand, one hundred thirty-three".

Divisors: 1 7 73 353 511 2251 2471 15757 25769 164323 180383 794603 1150261 5562221 58006019 406042133