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995282820 = 2232571037669
BaseRepresentation
bin111011010100101…
…100111110000100
32120100210121100200
4323110230332010
54014243022240
6242432210500
733443523120
oct7324547604
92510717320
10995282820
114708a1794
12239399a30
1312b27805c
1496280580
155c59d930
hex3b52cf84

995282820 has 144 divisors (see below), whose sum is σ = 3484266240. Its totient is φ = 225255168.

The previous prime is 995282819. The next prime is 995282861. The reversal of 995282820 is 28282599.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125946 + ... + 133614.

Almost surely, 2995282820 is an apocalyptic number.

995282820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 995282820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742133120).

995282820 is an abundant number, since it is smaller than the sum of its proper divisors (2488983420).

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

995282820 is a wasteful number, since it uses less digits than its factorization.

995282820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 995282820 is about 31548.1032710368. The cubic root of 995282820 is about 998.4251277461.

The spelling of 995282820 in words is "nine hundred ninety-five million, two hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 103 105 126 140 180 206 210 252 309 315 412 420 515 618 630 721 927 1030 1236 1260 1442 1545 1854 2060 2163 2884 3090 3605 3708 4326 4635 6180 6489 7210 7669 8652 9270 10815 12978 14420 15338 18540 21630 23007 25956 30676 32445 38345 43260 46014 53683 64890 69021 76690 92028 107366 115035 129780 138042 153380 161049 214732 230070 268415 276084 322098 345105 460140 483147 536830 644196 690210 789907 805245 966294 1073660 1380420 1579814 1610490 1932588 2369721 2415735 3159628 3220980 3949535 4739442 4831470 5529349 7109163 7899070 9478884 9662940 11058698 11848605 14218326 15798140 16588047 22117396 23697210 27646745 28436652 33176094 35545815 47394420 49764141 55293490 66352188 71091630 82940235 99528282 110586980 142183260 165880470 199056564 248820705 331760940 497641410 995282820