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506703829 is a prime number
BaseRepresentation
bin11110001100111…
…010111111010101
31022022110012222111
4132030322333111
52014204010304
6122140231021
715361624432
oct3614727725
91268405874
10506703829
112400260a5
1212183b471
1380c91568
144b41cb89
152e73e704
hex1e33afd5

506703829 has 2 divisors, whose sum is σ = 506703830. Its totient is φ = 506703828.

The previous prime is 506703811. The next prime is 506703893. The reversal of 506703829 is 928307605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 335878929 + 170824900 = 18327^2 + 13070^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-506703829 is a prime.

It is a super-2 number, since 2×5067038292 = 513497540646522482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506703791 and 506703800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506703809) 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 as a sum of consecutive naturals, namely, 253351914 + 253351915.

It is an arithmetic number, because the mean of its divisors is an integer number (253351915).

Almost surely, 2506703829 is an apocalyptic number.

It is an amenable number.

506703829 is a deficient number, since it is larger than the sum of its proper divisors (1).

506703829 is an equidigital number, since it uses as much as digits as its factorization.

506703829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 506703829 is about 22510.0828297010. The cubic root of 506703829 is about 797.2320114491.

The spelling of 506703829 in words is "five hundred six million, seven hundred three thousand, eight hundred twenty-nine".