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40641129 = 331505227
BaseRepresentation
bin1001101100001…
…0001001101001
32211110210011000
42123002021221
540401004004
64011025213
71002305154
oct233021151
984423130
1040641129
1120a39311
121173b209
13855c609
14557cc9b
15387bc39
hex26c2269

40641129 has 8 divisors (see below), whose sum is σ = 60209120. Its totient is φ = 27094068.

The previous prime is 40641109. The next prime is 40641137. The reversal of 40641129 is 92114604.

40641129 is a `hidden beast` number, since 4 + 0 + 641 + 12 + 9 = 666.

It is not a de Polignac number, because 40641129 - 27 = 40641001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1505227 = 40641129 / (4 + 0 + 6 + 4 + 1 + 1 + 2 + 9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40641109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752587 + ... + 752640.

It is an arithmetic number, because the mean of its divisors is an integer number (7526140).

Almost surely, 240641129 is an apocalyptic number.

It is an amenable number.

40641129 is a deficient number, since it is larger than the sum of its proper divisors (19567991).

40641129 is a wasteful number, since it uses less digits than its factorization.

40641129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505236 (or 1505230 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40641129 is about 6375.0395292892. The cubic root of 40641129 is about 343.8127050789.

The spelling of 40641129 in words is "forty million, six hundred forty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 1505227 4515681 13547043 40641129