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530535456 = 253211179851
BaseRepresentation
bin11111100111110…
…101010000100000
31100222021222211100
4133213311100200
52041304113311
6124351114400
716101322413
oct3747652040
91328258740
10530535456
11252523160
12129812a00
1385bb6a09
1450663b7a
153189aa56
hex1f9f5420

530535456 has 144 divisors (see below), whose sum is σ = 1742858208. Its totient is φ = 151296000.

The previous prime is 530535433. The next prime is 530535463. The reversal of 530535456 is 654535035.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 530535456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48931 + ... + 58781.

It is an arithmetic number, because the mean of its divisors is an integer number (12103182).

Almost surely, 2530535456 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 530535456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871429104).

530535456 is an abundant number, since it is smaller than the sum of its proper divisors (1212322752).

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

530535456 is a wasteful number, since it uses less digits than its factorization.

530535456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The square root of 530535456 is about 23033.3552918371. The cubic root of 530535456 is about 809.5396744304.

The spelling of 530535456 in words is "five hundred thirty million, five hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 9851 13464 17952 19702 26928 29553 39404 53856 59106 78808 88659 108361 118212 157616 167467 177318 216722 236424 315232 325083 334934 354636 433444 472848 502401 650166 669868 709272 866888 945696 975249 1004802 1300332 1339736 1418544 1507203 1733776 1842137 1950498 2009604 2600664 2679472 2837088 3014406 3467552 3684274 3900996 4019208 5201328 5358944 5526411 6028812 7368548 7801992 8038416 10402656 11052822 12057624 14737096 15603984 16076832 16579233 22105644 24115248 29474192 31207968 33158466 44211288 48230496 58948384 66316932 88422576 132633864 176845152 265267728 530535456