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396506133 = 3295346229
BaseRepresentation
bin10111101000100…
…011010000010101
31000122002121011100
4113220203100111
51303001144013
6103202300313
712553150362
oct2750432025
91018077140
10396506133
111938a9a21
12b0957699
13641ba21a
143a935469
1524c23473
hex17a23415

396506133 has 12 divisors (see below), whose sum is σ = 573344460. Its totient is φ = 264054336.

The previous prime is 396506111. The next prime is 396506153. The reversal of 396506133 is 331605693.

396506133 is a `hidden beast` number, since 39 + 6 + 5 + 0 + 613 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 323352324 + 73153809 = 17982^2 + 8553^2 .

It is not a de Polignac number, because 396506133 - 29 = 396505621 is a prime.

It is a super-2 number, since 2×3965061332 = 314434227013227378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396506153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14538 + ... + 31691.

It is an arithmetic number, because the mean of its divisors is an integer number (47778705).

Almost surely, 2396506133 is an apocalyptic number.

It is an amenable number.

396506133 is a deficient number, since it is larger than the sum of its proper divisors (176838327).

396506133 is a wasteful number, since it uses less digits than its factorization.

396506133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47188 (or 47185 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 396506133 is about 19912.4617513757. The cubic root of 396506133 is about 734.6547705381.

The spelling of 396506133 in words is "three hundred ninety-six million, five hundred six thousand, one hundred thirty-three".

Divisors: 1 3 9 953 2859 8577 46229 138687 416061 44056237 132168711 396506133