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82423040 = 28579199
BaseRepresentation
bin1001110100110…
…10110100000000
312202002112011012
410322122310000
5132100014130
612102340052
72020404260
oct472326400
9182075135
1082423040
1142586717
122372a628
13140cb23b
14ad377a0
157381995
hex4e9ad00

82423040 has 72 divisors (see below), whose sum is σ = 225657600. Its totient is φ = 28256256.

The previous prime is 82423031. The next prime is 82423043. The reversal of 82423040 is 4032428.

It is a junction number, because it is equal to n+sod(n) for n = 82422997 and 82423015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82423043) 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 7 ways as a sum of consecutive naturals, for example, 4361 + ... + 13559.

Almost surely, 282423040 is an apocalyptic number.

82423040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828800).

82423040 is an abundant number, since it is smaller than the sum of its proper divisors (143234560).

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

82423040 is an equidigital number, since it uses as much as digits as its factorization.

82423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 82423040 is about 9078.7135652580. The cubic root of 82423040 is about 435.1939769928.

Adding to 82423040 its reverse (4032428), we get a palindrome (86455468).

The spelling of 82423040 in words is "eighty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 9199 18398 36796 45995 64393 73592 91990 128786 147184 183980 257572 294368 321965 367960 515144 588736 643930 735920 1030288 1177472 1287860 1471840 2060576 2354944 2575720 2943680 4121152 5151440 5887360 8242304 10302880 11774720 16484608 20605760 41211520 82423040