Search a number
-
+
163865856 = 28371117163
BaseRepresentation
bin10011100010001…
…10010100000000
3102102100020200210
421301012110000
5313422201411
624132114120
74026560010
oct1161062400
9372306623
10163865856
1184552930
1246a65940
1327c4525b
1417a97c40
15e5bcca6
hex9c46500

163865856 has 288 divisors, whose sum is σ = 579253248. Its totient is φ = 39813120.

The previous prime is 163865827. The next prime is 163865857. The reversal of 163865856 is 658568361.

It is a super-2 number, since 2×1638658562 = 53704037525225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163865857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005231 + ... + 1005393.

It is an arithmetic number, because the mean of its divisors is an integer number (2011296).

Almost surely, 2163865856 is an apocalyptic number.

163865856 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 163865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289626624).

163865856 is an abundant number, since it is smaller than the sum of its proper divisors (415387392).

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

163865856 is a wasteful number, since it uses less digits than its factorization.

163865856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 163865856 is about 12801.0099601555. The cubic root of 163865856 is about 547.2210860176.

The spelling of 163865856 in words is "one hundred sixty-three million, eight hundred sixty-five thousand, eight hundred fifty-six".