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506242023 = 37191268777
BaseRepresentation
bin11110001011001…
…010001111100111
31022021120202111120
4132023022033213
52014044221043
6122122305023
715354662160
oct3613121747
91267522446
10506242023
1123a840141
12121658173
1380b5c2c1
144b33c767
152e69c983
hex1e2ca3e7

506242023 has 16 divisors (see below), whose sum is σ = 812017920. Its totient is φ = 274055616.

The previous prime is 506242021. The next prime is 506242027. The reversal of 506242023 is 320242605.

It is not a de Polignac number, because 506242023 - 21 = 506242021 is a prime.

It is a super-2 number, since 2×5062420232 = 512561971702265058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506241984 and 506242002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506242021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633990 + ... + 634787.

It is an arithmetic number, because the mean of its divisors is an integer number (50751120).

Almost surely, 2506242023 is an apocalyptic number.

506242023 is a deficient number, since it is larger than the sum of its proper divisors (305775897).

506242023 is a wasteful number, since it uses less digits than its factorization.

506242023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268806.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 506242023 is about 22499.8227326350. The cubic root of 506242023 is about 796.9897407774.

Adding to 506242023 its reverse (320242605), we get a palindrome (826484628).

The spelling of 506242023 in words is "five hundred six million, two hundred forty-two thousand, twenty-three".

Divisors: 1 3 7 19 21 57 133 399 1268777 3806331 8881439 24106763 26644317 72320289 168747341 506242023