Search a number
-
+
533426688 = 293347821
BaseRepresentation
bin11111110010110…
…111001000000000
31101011201212212000
4133302313020000
52043024123223
6124533104000
716135023564
oct3762671000
91334655760
10533426688
11254118403
1212a788000
13866899c2
1450bb76a4
1531c6c543
hex1fcb7200

533426688 has 160 divisors (see below), whose sum is σ = 1614539520. Its totient is φ = 173813760.

The previous prime is 533426683. The next prime is 533426693. The reversal of 533426688 is 886624335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (533426683) and next prime (533426693).

It is not an unprimeable number, because it can be changed into a prime (533426683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649318 + ... + 650138.

It is an arithmetic number, because the mean of its divisors is an integer number (10090872).

Almost surely, 2533426688 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 533426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807269760).

533426688 is an abundant number, since it is smaller than the sum of its proper divisors (1081112832).

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

533426688 is an equidigital number, since it uses as much as digits as its factorization.

533426688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 873 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 533426688 is about 23096.0318669680. The cubic root of 533426688 is about 811.0075801443.

The spelling of 533426688 in words is "five hundred thirty-three million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 752 768 821 846 864 1128 1152 1269 1504 1536 1642 1692 1728 2256 2304 2463 2538 3008 3284 3384 3456 4512 4608 4926 5076 6016 6568 6768 6912 7389 9024 9852 10152 12032 13136 13536 13824 14778 18048 19704 20304 22167 24064 26272 27072 29556 36096 38587 39408 40608 44334 52544 54144 59112 72192 77174 78816 81216 88668 105088 108288 115761 118224 154348 157632 162432 177336 210176 216576 231522 236448 308696 315264 324864 347283 354672 420352 463044 472896 617392 630528 649728 694566 709344 926088 945792 1041849 1234784 1261056 1389132 1418688 1852176 1891584 2083698 2469568 2778264 2837376 3704352 3783168 4167396 4939136 5556528 5674752 7408704 8334792 9878272 11113056 11349504 14817408 16669584 19756544 22226112 29634816 33339168 44452224 59269632 66678336 88904448 133356672 177808896 266713344 533426688