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530825064 = 233711226113
BaseRepresentation
bin11111101000111…
…011111101101000
31100222211201002120
4133220323331220
52041342400224
6124401231240
716103636640
oct3750737550
91328751076
10530825064
11252700800
12129932520
1385c88793
14506db520
1531906779
hex1fa3bf68

530825064 has 96 divisors (see below), whose sum is σ = 1667117760. Its totient is φ = 137871360.

The previous prime is 530825041. The next prime is 530825083. The reversal of 530825064 is 460528035.

It is a super-3 number, since 3×5308250643 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7272 + ... + 33384.

It is an arithmetic number, because the mean of its divisors is an integer number (17365810).

Almost surely, 2530825064 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 530825064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833558880).

530825064 is an abundant number, since it is smaller than the sum of its proper divisors (1136292696).

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

530825064 is a wasteful number, since it uses less digits than its factorization.

530825064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26151 (or 26136 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 530825064 is about 23039.6411430387. The cubic root of 530825064 is about 809.6869511211.

The spelling of 530825064 in words is "five hundred thirty million, eight hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 26113 52226 78339 104452 156678 182791 208904 287243 313356 365582 548373 574486 626712 731164 861729 1096746 1148972 1462328 1723458 2010701 2193492 2297944 3159673 3446916 4021402 4386984 6032103 6319346 6893832 8042804 9479019 12064206 12638692 16085608 18958038 22117711 24128412 25277384 37916076 44235422 48256824 66353133 75832152 88470844 132706266 176941688 265412532 530825064