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81947418 = 23719103997
BaseRepresentation
bin1001110001001…
…10101100011010
312201012100201120
410320212230122
5131434304133
612044230110
72013353520
oct470465432
9181170646
1081947418
1142291343
122353b336
1313c928c7
14ac52310
1572daab3
hex4e26b1a

81947418 has 64 divisors (see below), whose sum is σ = 199280640. Its totient is φ = 21943872.

The previous prime is 81947389. The next prime is 81947423. The reversal of 81947418 is 81474918.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 81947418.

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 31 ways as a sum of consecutive naturals, for example, 81696 + ... + 82692.

It is an arithmetic number, because the mean of its divisors is an integer number (3113760).

Almost surely, 281947418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81947418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99640320).

81947418 is an abundant number, since it is smaller than the sum of its proper divisors (117333222).

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

81947418 is a wasteful number, since it uses less digits than its factorization.

81947418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131.

The product of its digits is 64512, while the sum is 42.

The square root of 81947418 is about 9052.4813172964. The cubic root of 81947418 is about 434.3552663119.

The spelling of 81947418 in words is "eighty-one million, nine hundred forty-seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 103 114 133 206 266 309 399 618 721 798 997 1442 1957 1994 2163 2991 3914 4326 5871 5982 6979 11742 13699 13958 18943 20937 27398 37886 41097 41874 56829 82194 102691 113658 132601 205382 265202 308073 397803 616146 718837 795606 1437674 1951129 2156511 3902258 4313022 5853387 11706774 13657903 27315806 40973709 81947418