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828106650 = 2325271511741
BaseRepresentation
bin110001010110111…
…110011110011010
32010201020011202200
4301112332132122
53143443403100
6214101111030
726343535050
oct6126763632
92121204680
10828106650
11395498868
121b13b8476
13102744147
147bda41d0
154ca79e00
hex315be79a

828106650 has 144 divisors (see below), whose sum is σ = 2560990848. Its totient is φ = 187920000.

The previous prime is 828106637. The next prime is 828106661. The reversal of 828106650 is 56601828.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474780 + ... + 476520.

Almost surely, 2828106650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828106650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280495424).

828106650 is an abundant number, since it is smaller than the sum of its proper divisors (1732884198).

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

828106650 is a wasteful number, since it uses less digits than its factorization.

828106650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 828106650 is about 28776.8422520609. The cubic root of 828106650 is about 939.0645023688.

The spelling of 828106650 in words is "eight hundred twenty-eight million, one hundred six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 151 175 210 225 302 315 350 450 453 525 630 755 906 1050 1057 1359 1510 1575 1741 2114 2265 2718 3150 3171 3482 3775 4530 5223 5285 6342 6795 7550 8705 9513 10446 10570 11325 12187 13590 15669 15855 17410 19026 22650 24374 26115 26425 31338 31710 33975 36561 43525 47565 52230 52850 60935 67950 73122 78345 79275 87050 95130 109683 121870 130575 156690 158550 182805 219366 237825 261150 262891 304675 365610 391725 475650 525782 548415 609350 783450 788673 914025 1096830 1314455 1577346 1828050 1840237 2366019 2628910 2742075 3680474 3943365 4732038 5484150 5520711 6572275 7886730 9201185 11041422 11830095 13144550 16562133 18402370 19716825 23660190 27603555 33124266 39433650 46005925 55207110 59150475 82810665 92011850 118300950 138017775 165621330 276035550 414053325 828106650