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66429 = 3211261
BaseRepresentation
bin10000001101111101
310101010100
4100031331
54111204
61231313
7364446
oct201575
9111110
1066429
1145a00
1232539
132430c
141a2cd
1514a39
hex1037d

66429 has 18 divisors (see below), whose sum is σ = 107198. Its totient is φ = 39600.

The previous prime is 66413. The next prime is 66431. The reversal of 66429 is 92466.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 27225 = 198^2 + 165^2 .

It is not a de Polignac number, because 66429 - 24 = 66413 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66429.

It is not an unprimeable number, because it can be changed into a prime (66449) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1059 + ... + 1119.

266429 is an apocalyptic number.

It is an amenable number.

66429 is a deficient number, since it is larger than the sum of its proper divisors (40769).

66429 is a wasteful number, since it uses less digits than its factorization.

66429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66429 is about 257.7382393049. The cubic root of 66429 is about 40.4997713750.

The spelling of 66429 in words is "sixty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 33 61 99 121 183 363 549 671 1089 2013 6039 7381 22143 66429