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40106409 = 373771727
BaseRepresentation
bin1001100011111…
…1100110101001
32210110121122120
42120333212221
540231401114
63551341453
7664620210
oct230774651
983417576
1040106409
11207035a2
1211521889
138403105
145480077
1537c35a9
hex263f9a9

40106409 has 32 divisors (see below), whose sum is σ = 63737856. Its totient is φ = 21954240.

The previous prime is 40106399. The next prime is 40106447. The reversal of 40106409 is 90460104.

It is not a de Polignac number, because 40106409 - 25 = 40106377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40106309) 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, 54804 + ... + 55530.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 240106409 is an apocalyptic number.

It is an amenable number.

40106409 is a deficient number, since it is larger than the sum of its proper divisors (23631447).

40106409 is a wasteful number, since it uses less digits than its factorization.

40106409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 40106409 is about 6332.9621031552. The cubic root of 40106409 is about 342.2981822017.

The spelling of 40106409 in words is "forty million, one hundred six thousand, four hundred nine".

Divisors: 1 3 7 21 37 71 111 213 259 497 727 777 1491 2181 2627 5089 7881 15267 18389 26899 51617 55167 80697 154851 188293 361319 564879 1083957 1909829 5729487 13368803 40106409