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855163008 = 2734711783
BaseRepresentation
bin110010111110001…
…100000010000000
32012121010210010000
4302332030002000
53222410204013
6220505040000
730122523420
oct6276140200
92177123100
10855163008
113a9798697
121ba486000
1310822831b
1481808480
1550121973
hex32f8c080

855163008 has 160 divisors (see below), whose sum is σ = 2908762560. Its totient is φ = 244311552.

The previous prime is 855162989. The next prime is 855163063. The reversal of 855163008 is 800361558.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66685 + ... + 78467.

It is an arithmetic number, because the mean of its divisors is an integer number (18179766).

Almost surely, 2855163008 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 855163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454381280).

855163008 is an abundant number, since it is smaller than the sum of its proper divisors (2053599552).

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

855163008 is a wasteful number, since it uses less digits than its factorization.

855163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 855163008 is about 29243.1702795713. The cubic root of 855163008 is about 949.1823095055.

The spelling of 855163008 in words is "eight hundred fifty-five million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 11783 12096 18144 23566 24192 35349 36288 47132 70698 72576 82481 94264 106047 141396 164962 188528 212094 247443 282792 318141 329924 377056 424188 494886 565584 636282 659848 742329 754112 848376 954423 989772 1131168 1272564 1319696 1484658 1508224 1696752 1908846 1979544 2226987 2262336 2545128 2639392 2969316 3393504 3817692 3959088 4453974 4524672 5090256 5278784 5938632 6680961 6787008 7635384 7918176 8907948 10180512 10557568 11877264 13361922 13574016 15270768 15836352 17815896 20361024 23754528 26723844 30541536 31672704 35631792 40722048 47509056 53447688 61083072 71263584 95018112 106895376 122166144 142527168 213790752 285054336 427581504 855163008