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533532096 = 26341011019
BaseRepresentation
bin11111110011010…
…000110111000000
31101011221020110000
4133303100313000
52043041011341
6124535240000
716135643106
oct3763206700
91334836400
10533532096
1125418a619
1212a819000
13866c5986
1450c03c76
1531c8d8b6
hex1fcd0dc0

533532096 has 140 divisors (see below), whose sum is σ = 1598782680. Its totient is φ = 175910400.

The previous prime is 533532019. The next prime is 533532121. The reversal of 533532096 is 690235335.

533532096 is a `hidden beast` number, since 5 + 33 + 532 + 0 + 96 = 666.

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 533532096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 523075 + ... + 524093.

Almost surely, 2533532096 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 533532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799391340).

533532096 is an abundant number, since it is smaller than the sum of its proper divisors (1065250584).

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

533532096 is a wasteful number, since it uses less digits than its factorization.

533532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 533532096 is about 23098.3137046842. The cubic root of 533532096 is about 811.0609964547.

The spelling of 533532096 in words is "five hundred thirty-three million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 144 162 192 202 216 288 303 324 404 432 576 606 648 808 864 909 1019 1212 1296 1616 1728 1818 2038 2424 2592 2727 3057 3232 3636 4076 4848 5184 5454 6114 6464 7272 8152 8181 9171 9696 10908 12228 14544 16304 16362 18342 19392 21816 24456 27513 29088 32608 32724 36684 43632 48912 55026 58176 65216 65448 73368 82539 87264 97824 102919 110052 130896 146736 165078 174528 195648 205838 220104 261792 293472 308757 330156 411676 440208 523584 586944 617514 660312 823352 880416 926271 1235028 1320624 1646704 1760832 1852542 2470056 2641248 2778813 3293408 3705084 4940112 5282496 5557626 6586816 7410168 8336439 9880224 11115252 14820336 16672878 19760448 22230504 29640672 33345756 44461008 59281344 66691512 88922016 133383024 177844032 266766048 533532096