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82389328 = 2471634513
BaseRepresentation
bin1001110100100…
…10100101010000
312202000210220121
410322102211100
5132042424303
612101520024
72020204060
oct472224520
9182023817
1082389328
114256335a
1223713014
13140b8aa8
14ad293a0
1573769bd
hex4e92950

82389328 has 40 divisors (see below), whose sum is σ = 183593408. Its totient is φ = 35085312.

The previous prime is 82389313. The next prime is 82389341. The reversal of 82389328 is 82398328.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16000 + ... + 20512.

Almost surely, 282389328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82389328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91796704).

82389328 is an abundant number, since it is smaller than the sum of its proper divisors (101204080).

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

82389328 is a wasteful number, since it uses less digits than its factorization.

82389328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 82389328 is about 9076.8567246597. The cubic root of 82389328 is about 435.1346357372.

The spelling of 82389328 in words is "eighty-two million, three hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 326 652 1141 1304 2282 2608 4513 4564 9026 9128 18052 18256 31591 36104 63182 72208 126364 252728 505456 735619 1471238 2942476 5149333 5884952 10298666 11769904 20597332 41194664 82389328