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2835882009 = 34612972
BaseRepresentation
bin1010100100001000…
…0010000000011001
321022122012201210000
42221002002000121
521301441211014
61145222443213
7130163412402
oct25102020031
97278181700
102835882009
111225866144
12671893509
133626b15bc
141cc8c49a9
15118e76509
hexa9082019

2835882009 has 45 divisors (see below), whose sum is σ = 4351762701. Its totient is φ = 1840423680.

The previous prime is 2835881947. The next prime is 2835882011. The reversal of 2835882009 is 9002885382.

The square root of 2835882009 is 53253.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1052678025 + 1783203984 = 32445^2 + 42228^2 .

It is not a de Polignac number, because 2835882009 - 29 = 2835881497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2835882019) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29235849 + ... + 29235945.

Almost surely, 22835882009 is an apocalyptic number.

2835882009 is the 53253-rd square number.

2835882009 is the 26627-th centered octagonal number.

It is an amenable number.

2835882009 is a deficient number, since it is larger than the sum of its proper divisors (1515880692).

2835882009 is an frugal number, since it uses more digits than its factorization.

2835882009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The cubic root of 2835882009 is about 1415.4549530757.

The spelling of 2835882009 in words is "two billion, eight hundred thirty-five million, eight hundred eighty-two thousand, nine".

Divisors: 1 3 9 27 61 81 97 183 291 549 873 1647 2619 3721 4941 5917 7857 9409 11163 17751 28227 33489 53253 84681 100467 159759 254043 301401 360937 479277 573949 762129 1082811 1721847 3248433 5165541 9745299 15496623 29235897 35010889 46489869 105032667 315098001 945294003 2835882009