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282282129 = 3238980629
BaseRepresentation
bin10000110100110…
…100100010010001
3201200011102021200
4100310310202101
51034231012004
644002141413
76665233653
oct2064644221
9650142250
10282282129
11135382818
127a651869
134663635c
14296c06d3
1519bae239
hex10d34891

282282129 has 12 divisors (see below), whose sum is σ = 408794100. Its totient is φ = 187701984.

The previous prime is 282282103. The next prime is 282282131. The reversal of 282282129 is 921282282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109307025 + 172975104 = 10455^2 + 13152^2 .

It is not a de Polignac number, because 282282129 - 216 = 282216593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 282282093 and 282282102.

It is not an unprimeable number, because it can be changed into a prime (282282149) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 36814 + ... + 43815.

It is an arithmetic number, because the mean of its divisors is an integer number (34066175).

Almost surely, 2282282129 is an apocalyptic number.

It is an amenable number.

282282129 is a deficient number, since it is larger than the sum of its proper divisors (126511971).

282282129 is a wasteful number, since it uses less digits than its factorization.

282282129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81024 (or 81021 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 282282129 is about 16801.2537925001. The cubic root of 282282129 is about 655.9858347935.

The spelling of 282282129 in words is "two hundred eighty-two million, two hundred eighty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 389 1167 3501 80629 241887 725661 31364681 94094043 282282129