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4129029 = 332361109
BaseRepresentation
bin1111110000000100000101
321202202222000
433300010011
52024112104
6224255513
750044662
oct17600405
97682860
104129029
112370223
121471599
13b17518
14796a69
15568639
hex3f0105

4129029 has 32 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 2566080.

The previous prime is 4129007. The next prime is 4129031. The reversal of 4129029 is 9209214.

It is not a de Polignac number, because 4129029 - 29 = 4128517 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 4128993 and 4129011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129039) 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, 37827 + ... + 37935.

It is an arithmetic number, because the mean of its divisors is an integer number (204600).

Almost surely, 24129029 is an apocalyptic number.

It is an amenable number.

4129029 is a deficient number, since it is larger than the sum of its proper divisors (2418171).

4129029 is a wasteful number, since it uses less digits than its factorization.

4129029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

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

The square root of 4129029 is about 2032.0012303146. The cubic root of 4129029 is about 160.4289142801.

The spelling of 4129029 in words is "four million, one hundred twenty-nine thousand, twenty-nine".

Divisors: 1 3 9 23 27 61 69 109 183 207 327 549 621 981 1403 1647 2507 2943 4209 6649 7521 12627 19947 22563 37881 59841 67689 152927 179523 458781 1376343 4129029