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530288784 = 24321921012
BaseRepresentation
bin11111100110111…
…001000010010000
31100221211110110100
4133212321002100
52041223220114
6124341532400
716066244304
oct3746710220
91327743410
10530288784
112523748a3
12129714100
1385b2b65c
14505dbd04
153184c909
hex1f9b9090

530288784 has 135 divisors (see below), whose sum is σ = 1581953529. Its totient is φ = 165801600.

The previous prime is 530288779. The next prime is 530288791. The reversal of 530288784 is 487882035.

The square root of 530288784 is 23028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 509495184 + 20793600 = 22572^2 + 4560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5250334 + ... + 5250434.

Almost surely, 2530288784 is an apocalyptic number.

530288784 is the 23028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530288784

530288784 is an abundant number, since it is smaller than the sum of its proper divisors (1051664745).

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

530288784 is a wasteful number, since it uses less digits than its factorization.

530288784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The cubic root of 530288784 is about 809.4141900574.

The spelling of 530288784 in words is "five hundred thirty million, two hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 101 114 144 152 171 202 228 303 304 342 361 404 456 606 684 722 808 909 912 1083 1212 1368 1444 1616 1818 1919 2166 2424 2736 2888 3249 3636 3838 4332 4848 5757 5776 6498 7272 7676 8664 10201 11514 12996 14544 15352 17271 17328 20402 23028 25992 30603 30704 34542 36461 40804 46056 51984 61206 69084 72922 81608 91809 92112 109383 122412 138168 145844 163216 183618 193819 218766 244824 276336 291688 328149 367236 387638 437532 489648 581457 583376 656298 734472 775276 875064 1162914 1312596 1468944 1550552 1744371 1750128 2325828 2625192 3101104 3488742 3682561 4651656 5250384 6977484 7365122 9303312 11047683 13954968 14730244 22095366 27909936 29460488 33143049 44190732 58920976 66286098 88381464 132572196 176762928 265144392 530288784