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533128128 = 263131671279
BaseRepresentation
bin11111110001101…
…110001111000000
31101011011201022020
4133301232033000
52042440100003
6124522441440
716132341261
oct3761561700
91334151266
10533128128
11253a34065
1212a663280
13865b3b40
1450b3a968
1531c0dd53
hex1fc6e3c0

533128128 has 112 divisors (see below), whose sum is σ = 1529364480. Its totient is φ = 162929664.

The previous prime is 533128121. The next prime is 533128133. The reversal of 533128128 is 821821335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533128121) 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, 416193 + ... + 417471.

It is an arithmetic number, because the mean of its divisors is an integer number (13655040).

Almost surely, 2533128128 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 533128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764682240).

533128128 is an abundant number, since it is smaller than the sum of its proper divisors (996236352).

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

533128128 is a wasteful number, since it uses less digits than its factorization.

533128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 533128128 is about 23089.5675143559. The cubic root of 533128128 is about 810.8562443769.

The spelling of 533128128 in words is "five hundred thirty-three million, one hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 167 192 208 312 334 416 501 624 668 832 1002 1248 1279 1336 2004 2171 2496 2558 2672 3837 4008 4342 5116 5344 6513 7674 8016 8684 10232 10688 13026 15348 16032 16627 17368 20464 26052 30696 32064 33254 34736 40928 49881 52104 61392 66508 69472 81856 99762 104208 122784 133016 138944 199524 208416 213593 245568 266032 399048 416832 427186 532064 640779 798096 854372 1064128 1281558 1596192 1708744 2563116 2776709 3192384 3417488 5126232 5553418 6834976 8330127 10252464 11106836 13669952 16660254 20504928 22213672 33320508 41009856 44427344 66641016 88854688 133282032 177709376 266564064 533128128