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530586528 = 25359113829
BaseRepresentation
bin11111101000000…
…001101110100000
31100222101120212220
4133220001232200
52041312232103
6124352151040
716101624333
oct3750015640
91328346786
10530586528
1125255856a
12129838480
1385c04034
145067861a
15318aac53
hex1fa01ba0

530586528 has 96 divisors (see below), whose sum is σ = 1430654400. Its totient is φ = 172118016.

The previous prime is 530586527. The next prime is 530586577. The reversal of 530586528 is 825685035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 530586528.

It is not an unprimeable number, because it can be changed into a prime (530586521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639618 + ... + 640446.

It is an arithmetic number, because the mean of its divisors is an integer number (14902650).

Almost surely, 2530586528 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 530586528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715327200).

530586528 is an abundant number, since it is smaller than the sum of its proper divisors (900067872).

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

530586528 is a wasteful number, since it uses less digits than its factorization.

530586528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 530586528 is about 23034.4639182248. The cubic root of 530586528 is about 809.5656503781.

The spelling of 530586528 in words is "five hundred thirty million, five hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 226 236 339 354 452 472 678 708 829 904 944 1356 1416 1658 1808 1888 2487 2712 2832 3316 3616 4974 5424 5664 6632 6667 9948 10848 13264 13334 19896 20001 26528 26668 39792 40002 48911 53336 79584 80004 93677 97822 106672 146733 160008 187354 195644 213344 281031 293466 320016 374708 391288 562062 586932 640032 749416 782576 1124124 1173864 1498832 1565152 2248248 2347728 2997664 4496496 4695456 5526943 8992992 11053886 16580829 22107772 33161658 44215544 66323316 88431088 132646632 176862176 265293264 530586528