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82329130 = 25131737253
BaseRepresentation
bin1001110100000…
…11111000101010
312201220202100001
410322003320222
5132034013010
612100333214
72016533422
oct472037052
9181822301
1082329130
1142522104
12236a420a
1314097580
14ad11482
157363c3a
hex4e83e2a

82329130 has 32 divisors (see below), whose sum is σ = 168984144. Its totient is φ = 28609536.

The previous prime is 82329119. The next prime is 82329151. The reversal of 82329130 is 3192328.

It can be written as a sum of positive squares in 8 ways, for example, as 61889689 + 20439441 = 7867^2 + 4521^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16417 + ... + 20836.

Almost surely, 282329130 is an apocalyptic number.

82329130 is an abundant number, since it is smaller than the sum of its proper divisors (86655014).

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

82329130 is a wasteful number, since it uses less digits than its factorization.

82329130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37290.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 82329130 is about 9073.5401029587. The cubic root of 82329130 is about 435.0286324572.

The spelling of 82329130 in words is "eighty-two million, three hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 37253 74506 186265 372530 484289 633301 968578 1266602 2421445 3166505 4842890 6333010 8232913 16465826 41164565 82329130