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506431324 = 227533311031
BaseRepresentation
bin11110001011111…
…000011101011100
31022021221101011201
4132023320131130
52014121300244
6122130325244
715356411110
oct3613703534
91267841151
10506431324
1123a95a393
12121729824
1380bc7509
144b38b740
152e6d8ad4
hex1e2f875c

506431324 has 48 divisors (see below), whose sum is σ = 1036094976. Its totient is φ = 212097600.

The previous prime is 506431313. The next prime is 506431351. The reversal of 506431324 is 423134605.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 506431292 and 506431301.

It is a congruent number.

It is an unprimeable number.

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, 490689 + ... + 491719.

It is an arithmetic number, because the mean of its divisors is an integer number (21585312).

Almost surely, 2506431324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506431324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518047488).

506431324 is an abundant number, since it is smaller than the sum of its proper divisors (529663652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506431324 is a wasteful number, since it uses less digits than its factorization.

506431324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 506431324 is about 22504.0290614814. The cubic root of 506431324 is about 797.0890688634.

Adding to 506431324 its reverse (423134605), we get a palindrome (929565929).

The spelling of 506431324 in words is "five hundred six million, four hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 106 212 331 371 662 742 1031 1324 1484 2062 2317 4124 4634 7217 9268 14434 17543 28868 35086 54643 70172 109286 122801 218572 245602 341261 382501 491204 682522 765002 1365044 1530004 2388827 4777654 9555308 18086833 36173666 72347332 126607831 253215662 506431324