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82389762 = 232713179281
BaseRepresentation
bin1001110100100…
…10101100000010
312202000211111200
410322102230002
5132042433022
612101522030
72020205250
oct472225402
9182024450
1082389762
1142563714
1223713316
13140b9050
14ad295d0
157376bac
hex4e92b02

82389762 has 96 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 21530880.

The previous prime is 82389751. The next prime is 82389767. The reversal of 82389762 is 26798328.

It is not an unprimeable number, because it can be changed into a prime (82389767) 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 47 ways as a sum of consecutive naturals, for example, 293062 + ... + 293342.

It is an arithmetic number, because the mean of its divisors is an integer number (2309580).

Almost surely, 282389762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82389762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

82389762 is an abundant number, since it is smaller than the sum of its proper divisors (139329918).

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

82389762 is a wasteful number, since it uses less digits than its factorization.

82389762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82389762 is about 9076.8806315826. The cubic root of 82389762 is about 435.1353997848.

The spelling of 82389762 in words is "eighty-two million, three hundred eighty-nine thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 179 182 234 273 281 358 537 546 562 819 843 1074 1253 1611 1638 1686 1967 2327 2506 2529 3222 3653 3759 3934 4654 5058 5901 6981 7306 7518 10959 11277 11802 13962 16289 17703 20943 21918 22554 25571 32578 32877 35406 41886 48867 50299 51142 65754 76713 97734 100598 146601 150897 153426 230139 293202 301794 352093 452691 460278 653887 704186 905382 1056279 1307774 1961661 2112558 3168837 3923322 4577209 5884983 6337674 9154418 11769966 13731627 27463254 41194881 82389762