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530429328 = 2432111325759
BaseRepresentation
bin11111100111011…
…011010110010000
31100222002121020200
4133213123112100
52041242214303
6124344535200
716100401122
oct3747332620
91328077220
10530429328
11252460450
12129781500
1385b7a610
1450637212
15318793a3
hex1f9db590

530429328 has 120 divisors (see below), whose sum is σ = 1744055040. Its totient is φ = 148366080.

The previous prime is 530429323. The next prime is 530429329. The reversal of 530429328 is 823924035.

530429328 is a `hidden beast` number, since 5 + 304 + 29 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530429292 and 530429301.

It is not an unprimeable number, because it can be changed into a prime (530429323) 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 23 ways as a sum of consecutive naturals, for example, 7713 + ... + 33471.

It is an arithmetic number, because the mean of its divisors is an integer number (14533792).

Almost surely, 2530429328 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 530429328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872027520).

530429328 is an abundant number, since it is smaller than the sum of its proper divisors (1213625712).

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

530429328 is a wasteful number, since it uses less digits than its factorization.

530429328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797 (or 25788 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 530429328 is about 23031.0513872033. The cubic root of 530429328 is about 809.4856908842.

The spelling of 530429328 in words is "five hundred thirty million, four hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 25759 51518 77277 103036 154554 206072 231831 283349 309108 334867 412144 463662 566698 618216 669734 850047 927324 1004601 1133396 1236432 1339468 1700094 1854648 2009202 2266792 2550141 2678936 3013803 3400188 3683537 3709296 4018404 4533584 5100282 5357872 6027606 6800376 7367074 8036808 10200564 11050611 12055212 13600752 14734148 16073616 20401128 22101222 24110424 29468296 33151833 40802256 44202444 48220848 58936592 66303666 88404888 132607332 176809776 265214664 530429328