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506631429 = 352084903
BaseRepresentation
bin11110001100101…
…001010100000101
31022022022112200000
4132030221110011
52014144201204
6122134511513
715361203363
oct3614512405
91268275600
10506631429
1123aa86767
12121805599
1380c67615
144b400633
152e728039
hex1e329505

506631429 has 12 divisors (see below), whose sum is σ = 758905056. Its totient is φ = 337754124.

The previous prime is 506631361. The next prime is 506631443. The reversal of 506631429 is 924136605.

It is a happy number.

506631429 is a `hidden beast` number, since 506 + 6 + 3 + 142 + 9 = 666.

It is not a de Polignac number, because 506631429 - 28 = 506631173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506631393 and 506631402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506631469) 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, 1042209 + ... + 1042694.

It is an arithmetic number, because the mean of its divisors is an integer number (63242088).

Almost surely, 2506631429 is an apocalyptic number.

It is an amenable number.

506631429 is a deficient number, since it is larger than the sum of its proper divisors (252273627).

506631429 is an equidigital number, since it uses as much as digits as its factorization.

506631429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084918 (or 2084906 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 506631429 is about 22508.4746040241. The cubic root of 506631429 is about 797.1940390060.

The spelling of 506631429 in words is "five hundred six million, six hundred thirty-one thousand, four hundred twenty-nine".

Divisors: 1 3 9 27 81 243 2084903 6254709 18764127 56292381 168877143 506631429