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163856 = 24721119
BaseRepresentation
bin101000000000010000
322022202202
4220000100
520220411
63302332
71251500
oct500020
9268682
10163856
11102120
127a9a8
1359774
1443a00
153383b
hex28010

163856 has 60 divisors (see below), whose sum is σ = 424080. Its totient is φ = 60480.

The previous prime is 163853. The next prime is 163859. The reversal of 163856 is 658361.

It is an interprime number because it is at equal distance from previous prime (163853) and next prime (163859).

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163856.

It is not an unprimeable number, because it can be changed into a prime (163853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8615 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2163856 is an apocalyptic number.

163856 is a gapful number since it is divisible by the number (16) 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 163856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

163856 is an abundant number, since it is smaller than the sum of its proper divisors (260224).

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

163856 is a wasteful number, since it uses less digits than its factorization.

163856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 163856 is about 404.7913042544. The cubic root of 163856 is about 54.7210114606.

The spelling of 163856 in words is "one hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 133 152 154 176 196 209 266 304 308 392 418 532 539 616 784 836 931 1064 1078 1232 1463 1672 1862 2128 2156 2926 3344 3724 4312 5852 7448 8624 10241 11704 14896 20482 23408 40964 81928 163856