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523040031 = 33712331171
BaseRepresentation
bin11111001011001…
…111010100011111
31100110012012001000
4133023033110133
52032344240111
6123522321343
715650524023
oct3713172437
91313165030
10523040031
11249273798
121271b9253
1384491157
144d672383
1530db9c56
hex1f2cf51f

523040031 has 32 divisors (see below), whose sum is σ = 789834240. Its totient is φ = 342014400.

The previous prime is 523039927. The next prime is 523040041. The reversal of 523040031 is 130040325.

523040031 is a `hidden beast` number, since 5 + 230 + 400 + 31 = 666.

It is not a de Polignac number, because 523040031 - 214 = 523023647 is a prime.

It is a super-2 number, since 2×5230400312 = 547141748056961922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 523039986 and 523040013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523040041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446076 + ... + 447246.

It is an arithmetic number, because the mean of its divisors is an integer number (24682320).

Almost surely, 2523040031 is an apocalyptic number.

523040031 is a deficient number, since it is larger than the sum of its proper divisors (266794209).

523040031 is a wasteful number, since it uses less digits than its factorization.

523040031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 523040031 is about 22870.0684520182. The cubic root of 523040031 is about 805.7091758633.

Adding to 523040031 its reverse (130040325), we get a palindrome (653080356).

The spelling of 523040031 in words is "five hundred twenty-three million, forty thousand, thirty-one".

Divisors: 1 3 9 27 71 213 233 639 699 1171 1917 2097 3513 6291 10539 16543 31617 49629 83141 148887 249423 272843 446661 748269 818529 2244807 2455587 7366761 19371853 58115559 174346677 523040031