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863830881 = 329721012
BaseRepresentation
bin110011011111010…
…000001101100001
32020012110011012100
4303133100031201
53232120042011
6221414521013
730256304244
oct6337201541
92205404170
10863830881
11403678a21
12201366169
13109c71744
1482a2325b
1550c84d56
hex337d0361

863830881 has 27 divisors (see below), whose sum is σ = 1273358073. Its totient is φ = 564307200.

The previous prime is 863830867. The next prime is 863830921. The reversal of 863830881 is 188038368.

The square root of 863830881 is 29391.

It is a perfect power (a square), and thus also a powerful number.

863830881 is a `hidden beast` number, since 8 + 638 + 3 + 0 + 8 + 8 + 1 = 666.

863830881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224550225 + 639280656 = 14985^2 + 25284^2 .

It is not a de Polignac number, because 863830881 - 27 = 863830753 is a prime.

It is a super-2 number, since 2×8638308812 = 1492407581938472322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (863830831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8552731 + ... + 8552831.

Almost surely, 2863830881 is an apocalyptic number.

863830881 is the 29391-st square number.

863830881 is the 14696-th centered octagonal number.

It is an amenable number.

863830881 is a deficient number, since it is larger than the sum of its proper divisors (409527192).

863830881 is an equidigital number, since it uses as much as digits as its factorization.

863830881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 863830881 is about 952.3784836817.

It can be divided in two parts, 863 and 830881, that added together give a square (831744 = 9122).

The spelling of 863830881 in words is "eight hundred sixty-three million, eight hundred thirty thousand, eight hundred eighty-one".

Divisors: 1 3 9 97 101 291 303 873 909 9409 9797 10201 28227 29391 30603 84681 88173 91809 950309 989497 2850927 2968491 8552781 8905473 95981209 287943627 863830881