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29466117 = 3217292229
BaseRepresentation
bin111000001100…
…1111000000101
32001110000220200
41300121320011
530020403432
62531321113
7505313022
oct160317005
961400820
1029466117
11156a636a
129a50199
136148c95
143cb0549
1528c0a7c
hex1c19e05

29466117 has 36 divisors (see below), whose sum is σ = 46877220. Its totient is φ = 17773056.

The previous prime is 29466077. The next prime is 29466121. The reversal of 29466117 is 71166492.

It can be written as a sum of positive squares in 6 ways, for example, as 5171076 + 24295041 = 2274^2 + 4929^2 .

It is not a de Polignac number, because 29466117 - 26 = 29466053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29466127) 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 35 ways as a sum of consecutive naturals, for example, 128559 + ... + 128787.

It is an arithmetic number, because the mean of its divisors is an integer number (1302145).

Almost surely, 229466117 is an apocalyptic number.

It is an amenable number.

29466117 is a deficient number, since it is larger than the sum of its proper divisors (17411103).

29466117 is a wasteful number, since it uses less digits than its factorization.

29466117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 278 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29466117 is about 5428.2701664527. The cubic root of 29466117 is about 308.8689864675.

The spelling of 29466117 in words is "twenty-nine million, four hundred sixty-six thousand, one hundred seventeen".

Divisors: 1 3 9 17 29 51 87 153 229 261 493 687 841 1479 2061 2523 3893 4437 6641 7569 11679 14297 19923 35037 42891 59769 112897 128673 192589 338691 577767 1016073 1733301 3274013 9822039 29466117