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81426304 = 271275009
BaseRepresentation
bin1001101101001…
…11011110000000
312200012212220001
410312213132000
5131321120204
612025125344
72006053321
oct466473600
9180185801
1081426304
1141a65873
1223329854
1313b3c65b
14ab58448
1572364a4
hex4da7780

81426304 has 32 divisors (see below), whose sum is σ = 163526400. Its totient is φ = 40384512.

The previous prime is 81426299. The next prime is 81426337. The reversal of 81426304 is 40362418.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13752 + ... + 18760.

It is an arithmetic number, because the mean of its divisors is an integer number (5110200).

Almost surely, 281426304 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 81426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81763200).

81426304 is an abundant number, since it is smaller than the sum of its proper divisors (82100096).

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

81426304 is a wasteful number, since it uses less digits than its factorization.

81426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 81426304 is about 9023.6524755777. The cubic root of 81426304 is about 433.4326010582.

The spelling of 81426304 in words is "eighty-one million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 2032 4064 5009 8128 10018 16256 20036 40072 80144 160288 320576 636143 641152 1272286 2544572 5089144 10178288 20356576 40713152 81426304