Search a number
-
+
533382066 = 232759157457
BaseRepresentation
bin11111110010101…
…100001110110010
31101011122121122100
4133302230032302
52043021211231
6124532121230
716134446520
oct3762541662
91334577570
10533382066
11254097928
1212a766216
13866725b9
1450ba5310
1531c5e1e6
hex1fcac3b2

533382066 has 96 divisors (see below), whose sum is σ = 1354654080. Its totient is φ = 148531968.

The previous prime is 533382061. The next prime is 533382097. The reversal of 533382066 is 660283335.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 533382066.

It is not an unprimeable number, because it can be changed into a prime (533382061) 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 47 ways as a sum of consecutive naturals, for example, 1166910 + ... + 1167366.

It is an arithmetic number, because the mean of its divisors is an integer number (14110980).

Almost surely, 2533382066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533382066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677327040).

533382066 is an abundant number, since it is smaller than the sum of its proper divisors (821272014).

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

533382066 is a wasteful number, since it uses less digits than its factorization.

533382066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 533382066 is about 23095.0658366674. The cubic root of 533382066 is about 810.9849654844.

The spelling of 533382066 in words is "five hundred thirty-three million, three hundred eighty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 157 177 314 354 413 457 471 531 826 914 942 1062 1099 1239 1371 1413 2198 2478 2742 2826 3199 3297 3717 4113 6398 6594 7434 8226 9263 9597 9891 18526 19194 19782 26963 27789 28791 53926 55578 57582 64841 71749 80889 83367 129682 143498 161778 166734 188741 194523 215247 242667 377482 389046 430494 485334 502243 566223 583569 645741 1004486 1132446 1167138 1291482 1506729 1698669 3013458 3397338 4233191 4520187 8466382 9040374 12699573 25399146 29632337 38098719 59264674 76197438 88897011 177794022 266691033 533382066