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81106488 = 2333463811
BaseRepresentation
bin1001101010110…
…01011000111000
312122121122012000
410311121120320
5131230401423
612014221000
72003252031
oct465313070
9178548160
1081106488
1141867561
12231b4760
1313a59c08
14aab3a88
1571c1843
hex4d59638

81106488 has 64 divisors (see below), whose sum is σ = 226060800. Its totient is φ = 26943840.

The previous prime is 81106469. The next prime is 81106499. The reversal of 81106488 is 88460118.

81106488 is a `hidden beast` number, since 8 + 1 + 1 + 0 + 648 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 99603 + ... + 100413.

It is an arithmetic number, because the mean of its divisors is an integer number (3532200).

Almost surely, 281106488 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 81106488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113030400).

81106488 is an abundant number, since it is smaller than the sum of its proper divisors (144954312).

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

81106488 is a wasteful number, since it uses less digits than its factorization.

81106488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 81106488 is about 9005.9140568851. The cubic root of 81106488 is about 432.8643958060.

The spelling of 81106488 in words is "eighty-one million, one hundred six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 463 811 926 1389 1622 1852 2433 2778 3244 3704 4167 4866 5556 6488 7299 8334 9732 11112 12501 14598 16668 19464 21897 25002 29196 33336 43794 50004 58392 87588 100008 175176 375493 750986 1126479 1501972 2252958 3003944 3379437 4505916 6758874 9011832 10138311 13517748 20276622 27035496 40553244 81106488