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82542928 = 2413675923
BaseRepresentation
bin1001110101110…
…00000101010000
312202022121121111
410322320011100
5132112333203
612105103104
72021413636
oct472700520
9182277544
1082542928
11426587a6
1223787a94
1314140990
14ad69356
1573a726d
hex4eb8150

82542928 has 40 divisors (see below), whose sum is σ = 174829088. Its totient is φ = 37521792.

The previous prime is 82542917. The next prime is 82542931. The reversal of 82542928 is 82924528.

It is a happy number.

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, 10975 + ... + 16897.

Almost surely, 282542928 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 82542928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87414544).

82542928 is an abundant number, since it is smaller than the sum of its proper divisors (92286160).

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

82542928 is a wasteful number, since it uses less digits than its factorization.

82542928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6005 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 82542928 is about 9085.3138635933. The cubic root of 82542928 is about 435.4048778089.

The spelling of 82542928 in words is "eighty-two million, five hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1742 3484 5923 6968 11846 13936 23692 47384 76999 94768 153998 307996 396841 615992 793682 1231984 1587364 3174728 5158933 6349456 10317866 20635732 41271464 82542928