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40209129 = 3423113191
BaseRepresentation
bin1001100101100…
…0101011101001
32210122211120000
42121120223221
540243143004
63553453213
7665525532
oct231305351
983584500
1040209129
1120773794
1211571209
13843aaac
1454a9689
1537e3c39
hex2658ae9

40209129 has 40 divisors (see below), whose sum is σ = 63562752. Its totient is φ = 25280640.

The previous prime is 40209107. The next prime is 40209137. The reversal of 40209129 is 92190204.

40209129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40209129 - 28 = 40208873 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40209229) 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 39 ways as a sum of consecutive naturals, for example, 210424 + ... + 210614.

Almost surely, 240209129 is an apocalyptic number.

It is an amenable number.

40209129 is a deficient number, since it is larger than the sum of its proper divisors (23353623).

40209129 is a wasteful number, since it uses less digits than its factorization.

40209129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 40209129 is about 6341.0668660723. The cubic root of 40209129 is about 342.5901629179.

The spelling of 40209129 in words is "forty million, two hundred nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 27 69 81 113 191 207 339 573 621 1017 1719 1863 2599 3051 4393 5157 7797 9153 13179 15471 21583 23391 39537 64749 70173 118611 194247 210519 355833 496409 582741 1489227 1748223 4467681 13403043 40209129