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40261806 = 2331383691
BaseRepresentation
bin1001100110010…
…1100010101110
32210202111211000
42121211202232
540301334211
63554541130
7666135234
oct231454256
983674730
1040261806
11207aa322
12115977a6
138458a70
1454c0954
153804656
hex26658ae

40261806 has 64 divisors (see below), whose sum is σ = 97655040. Its totient is φ = 12221280.

The previous prime is 40261801. The next prime is 40261807. The reversal of 40261806 is 60816204.

40261806 is a `hidden beast` number, since 40 + 2 + 618 + 0 + 6 = 666.

40261806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40261806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40261801) 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 31 ways as a sum of consecutive naturals, for example, 57921 + ... + 58611.

It is an arithmetic number, because the mean of its divisors is an integer number (1525860).

Almost surely, 240261806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40261806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48827520).

40261806 is an abundant number, since it is smaller than the sum of its proper divisors (57393234).

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

40261806 is a wasteful number, since it uses less digits than its factorization.

40261806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40261806 is about 6345.2191451517. The cubic root of 40261806 is about 342.7397039747.

It can be divided in two parts, 4026 and 1806, that added together give a cube (5832 = 183).

The spelling of 40261806 in words is "forty million, two hundred sixty-one thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 691 702 747 1079 1382 1494 2073 2158 2241 3237 4146 4482 6219 6474 8983 9711 12438 17966 18657 19422 26949 29133 37314 53898 57353 58266 80847 114706 161694 172059 242541 344118 485082 516177 745589 1032354 1491178 1548531 2236767 3097062 4473534 6710301 13420602 20130903 40261806