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663330528 = 25327893697
BaseRepresentation
bin100111100010011…
…001111011100000
31201020011200102100
4213202121323200
52324303034103
6145453250400
722303134150
oct4742317340
91636150370
10663330528
11310484053
12166193a00
13a7570793
1464150760
153d37c5a3
hex27899ee0

663330528 has 144 divisors (see below), whose sum is σ = 2180636640. Its totient is φ = 187342848.

The previous prime is 663330491. The next prime is 663330533. The reversal of 663330528 is 825033366.

It is a happy number.

663330528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 663330492 and 663330501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177576 + ... + 181272.

It is an arithmetic number, because the mean of its divisors is an integer number (15143310).

Almost surely, 2663330528 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 663330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090318320).

663330528 is an abundant number, since it is smaller than the sum of its proper divisors (1517306112).

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

663330528 is a wasteful number, since it uses less digits than its factorization.

663330528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 663330528 is about 25755.2039013478. The cubic root of 663330528 is about 872.1208344740.

The spelling of 663330528 in words is "six hundred sixty-three million, three hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 89 96 112 126 144 168 178 224 252 267 288 336 356 504 534 623 672 712 801 1008 1068 1246 1424 1602 1869 2016 2136 2492 2848 3204 3697 3738 4272 4984 5607 6408 7394 7476 8544 9968 11091 11214 12816 14788 14952 19936 22182 22428 25632 25879 29576 29904 33273 44364 44856 51758 59152 59808 66546 77637 88728 89712 103516 118304 133092 155274 177456 179424 207032 232911 266184 310548 329033 354912 414064 465822 532368 621096 658066 828128 931644 987099 1064736 1242192 1316132 1863288 1974198 2303231 2484384 2632264 2961297 3726576 3948396 4606462 5264528 5922594 6909693 7453152 7896792 9212924 10529056 11845188 13819386 15793584 18425848 20729079 23690376 27638772 31587168 36851696 41458158 47380752 55277544 73703392 82916316 94761504 110555088 165832632 221110176 331665264 663330528