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857282244 = 223721328627
BaseRepresentation
bin110011000110010…
…001011011000100
32012202010110011020
4303012101123010
53223431012434
6221022311140
730146531100
oct6306213304
92182113136
10857282244
113aaa05925
121bb1284b0
131087bab00
1481bda900
15503de849
hex331916c4

857282244 has 108 divisors (see below), whose sum is σ = 2519962704. Its totient is φ = 226070208.

The previous prime is 857282233. The next prime is 857282291. The reversal of 857282244 is 442282758.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 857282196 and 857282205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95059 + ... + 103685.

It is an arithmetic number, because the mean of its divisors is an integer number (23332988).

Almost surely, 2857282244 is an apocalyptic number.

857282244 is a gapful number since it is divisible by the number (84) 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 857282244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259981352).

857282244 is an abundant number, since it is smaller than the sum of its proper divisors (1662680460).

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

857282244 is a wasteful number, since it uses less digits than its factorization.

857282244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8652 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 857282244 is about 29279.3825754574. The cubic root of 857282244 is about 949.9657398540.

The spelling of 857282244 in words is "eight hundred fifty-seven million, two hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 169 182 196 273 294 338 364 507 546 588 637 676 1014 1092 1183 1274 1911 2028 2366 2548 3549 3822 4732 7098 7644 8281 8627 14196 16562 17254 24843 25881 33124 34508 49686 51762 60389 99372 103524 112151 120778 181167 224302 241556 336453 362334 422723 448604 672906 724668 785057 845446 1268169 1345812 1457963 1570114 1690892 2355171 2536338 2915926 3140228 4373889 4710342 5072676 5495399 5831852 8747778 9420684 10205741 10990798 16486197 17495556 20411482 21981596 30617223 32972394 40822964 61234446 65944788 71440187 122468892 142880374 214320561 285760748 428641122 857282244