Search a number
-
+
80726166 = 23317471871
BaseRepresentation
bin1001100111111…
…00100010010110
312121220022111000
410303330202112
5131131214131
612002124130
72000106153
oct463744226
9177808430
1080726166
1141627844
1223050646
1313955a81
14aa1522a
157148ce6
hex4cfc896

80726166 has 64 divisors (see below), whose sum is σ = 194088960. Its totient is φ = 24773760.

The previous prime is 80726137. The next prime is 80726167. The reversal of 80726166 is 66162708.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 80726166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80726167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42211 + ... + 44081.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640).

Almost surely, 280726166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80726166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480).

80726166 is an abundant number, since it is smaller than the sum of its proper divisors (113362794).

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

80726166 is a wasteful number, since it uses less digits than its factorization.

80726166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 80726166 is about 8984.7741207000. The cubic root of 80726166 is about 432.1867441087.

The spelling of 80726166 in words is "eighty million, seven hundred twenty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 153 282 306 423 459 799 846 918 1269 1598 1871 2397 2538 3742 4794 5613 7191 11226 14382 16839 21573 31807 33678 43146 50517 63614 87937 95421 101034 175874 190842 263811 286263 527622 572526 791433 858789 1494929 1582866 1717578 2374299 2989858 4484787 4748598 8969574 13454361 26908722 40363083 80726166