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83098314 = 23213259463
BaseRepresentation
bin1001111001111…
…11101011001010
312210100211110100
410330333223022
5132233121224
612125030230
72026216065
oct474775312
9183324410
1083098314
11429a7aa2
12239b5376
13142a6700
14b0718dc
157466ac9
hex4f3faca

83098314 has 72 divisors (see below), whose sum is σ = 198694080. Its totient is φ = 25081056.

The previous prime is 83098307. The next prime is 83098339. The reversal of 83098314 is 41389038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179247 + ... + 179709.

It is an arithmetic number, because the mean of its divisors is an integer number (2759640).

Almost surely, 283098314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83098314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99347040).

83098314 is an abundant number, since it is smaller than the sum of its proper divisors (115595766).

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

83098314 is a wasteful number, since it uses less digits than its factorization.

83098314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83098314 is about 9115.8276640138. The cubic root of 83098314 is about 436.3792291540.

The spelling of 83098314 in words is "eighty-three million, ninety-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 169 177 234 338 354 463 507 531 767 926 1014 1062 1389 1521 1534 2301 2778 3042 4167 4602 6019 6903 8334 9971 12038 13806 18057 19942 27317 29913 36114 54171 54634 59826 78247 81951 89739 108342 156494 163902 179478 234741 245853 355121 469482 491706 704223 710242 1065363 1408446 2130726 3196089 4616573 6392178 9233146 13849719 27699438 41549157 83098314