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81105588 = 22322252933
BaseRepresentation
bin1001101010110…
…01001010110100
312122121120221200
410311121022310
5131230334323
612014212500
72003246304
oct465311264
9178546850
1081105588
1141866913
12231b4130
1313a59695
14aab3604
1571c1443
hex4d592b4

81105588 has 18 divisors (see below), whose sum is σ = 205016994. Its totient is φ = 27035184.

The previous prime is 81105581. The next prime is 81105601. The reversal of 81105588 is 88550118.

It can be written as a sum of positive squares in only one way, i.e., 43797924 + 37307664 = 6618^2 + 6108^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2252933 = 81105588 / (8 + 1 + 1 + 0 + 5 + 5 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81105581) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1126431 + ... + 1126502.

It is an arithmetic number, because the mean of its divisors is an integer number (11389833).

Almost surely, 281105588 is an apocalyptic number.

It is an amenable number.

81105588 is an abundant number, since it is smaller than the sum of its proper divisors (123911406).

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

81105588 is a wasteful number, since it uses less digits than its factorization.

81105588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252943 (or 2252938 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 81105588 is about 9005.8640895807. The cubic root of 81105588 is about 432.8627947036.

The spelling of 81105588 in words is "eighty-one million, one hundred five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2252933 4505866 6758799 9011732 13517598 20276397 27035196 40552794 81105588