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533020032 = 27322320117
BaseRepresentation
bin11111110001010…
…011110110000000
31101010222020000200
4133301103312000
52042423120112
6124520245200
716131411156
oct3761236600
91333866020
10533020032
1125396a926
1212a610800
138657688c
1450b0d3d6
1531bdbcdc
hex1fc53d80

533020032 has 96 divisors (see below), whose sum is σ = 1600588080. Its totient is φ = 169939968.

The previous prime is 533020001. The next prime is 533020063. The reversal of 533020032 is 230020335.

It is an interprime number because it is at equal distance from previous prime (533020001) and next prime (533020063).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5330200322 = 568220709026562048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 533019987 and 533020014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16438 + ... + 36554.

Almost surely, 2533020032 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 533020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800294040).

533020032 is an abundant number, since it is smaller than the sum of its proper divisors (1067568048).

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

533020032 is a wasteful number, since it uses less digits than its factorization.

533020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20160 (or 20145 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 533020032 is about 23087.2265982729. The cubic root of 533020032 is about 810.8014381389.

Adding to 533020032 its reverse (230020335), we get a palindrome (763040367).

The spelling of 533020032 in words is "five hundred thirty-three million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 20117 26496 40234 60351 80468 120702 160936 181053 241404 321872 362106 462691 482808 643744 724212 925382 965616 1287488 1388073 1448424 1850764 1931232 2574976 2776146 2896848 3701528 3862464 4164219 5552292 5793696 7403056 7724928 8328438 11104584 11587392 14806112 16656876 22209168 23174784 29612224 33313752 44418336 59224448 66627504 88836672 133255008 177673344 266510016 533020032