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533125032 = 2331121710799
BaseRepresentation
bin11111110001101…
…101011110101000
31101011011120001120
4133301231132220
52042440000112
6124522415240
716132326246
oct3761553650
91334146046
10533125032
11253a31800
1212a661520
13865b25cb
1450b39796
1531c0ce8c
hex1fc6d7a8

533125032 has 96 divisors (see below), whose sum is σ = 1551312000. Its totient is φ = 152035840.

The previous prime is 533125031. The next prime is 533125063. The reversal of 533125032 is 230521335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 533124993 and 533125011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533125031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43969 + ... + 54767.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2533125032 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 533125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

533125032 is an abundant number, since it is smaller than the sum of its proper divisors (1018186968).

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

533125032 is a wasteful number, since it uses less digits than its factorization.

533125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10847 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 533125032 is about 23089.5004709933. The cubic root of 533125032 is about 810.8546747631.

Adding to 533125032 its reverse (230521335), we get a palindrome (763646367).

The spelling of 533125032 in words is "five hundred thirty-three million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 6171 8228 10799 12342 16456 21598 24684 32397 43196 49368 64794 86392 118789 129588 183583 237578 259176 356367 367166 475156 550749 712734 734332 950312 1101498 1306679 1425468 1468664 2019413 2202996 2613358 2850936 3920037 4038826 4405992 5226716 6058239 7840074 8077652 10453432 12116478 15680148 16155304 22213543 24232956 31360296 44427086 48465912 66640629 88854172 133281258 177708344 266562516 533125032