Search a number
-
+
40165866 = 232131723439
BaseRepresentation
bin1001100100111…
…0000111101010
32210120122012200
42121032013222
540240301431
63552521030
7665255436
oct231160752
983518180
1040165866
1120744234
1211550176
1384241b0
1454979c6
1537d5ee6
hex264e1ea

40165866 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 11100672.

The previous prime is 40165861. The next prime is 40165901. The reversal of 40165866 is 66856104.

40165866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401658662 = 3226593583059912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40165866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40165861) 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 47 ways as a sum of consecutive naturals, for example, 91275 + ... + 91713.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 240165866 is an apocalyptic number.

40165866 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40165866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

40165866 is an abundant number, since it is smaller than the sum of its proper divisors (63617814).

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

40165866 is a wasteful number, since it uses less digits than its factorization.

40165866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40165866 is about 6337.6546134986. The cubic root of 40165866 is about 342.4672488974.

The spelling of 40165866 in words is "forty million, one hundred sixty-five thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 102 117 138 153 207 221 234 299 306 391 414 439 442 598 663 782 878 897 1173 1317 1326 1794 1989 2346 2634 2691 3519 3951 3978 5083 5382 5707 7038 7463 7902 10097 10166 11414 14926 15249 17121 20194 22389 30291 30498 34242 44778 45747 51363 60582 67167 90873 91494 97019 102726 131261 134334 171649 181746 194038 262522 291057 343298 393783 514947 582114 787566 873171 1029894 1181349 1544841 1746342 2231437 2362698 3089682 4462874 6694311 13388622 20082933 40165866