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29000385 = 32517167227
BaseRepresentation
bin110111010100…
…0001011000001
32000120101001100
41232220023001
524411003020
62513325013
7501333141
oct156501301
960511040
1029000385
1115408467
129866769
136014cbb
143bcc921
15282ca90
hex1ba82c1

29000385 has 48 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 14406144.

The previous prime is 29000359. The next prime is 29000393. The reversal of 29000385 is 58300092.

It is not a de Polignac number, because 29000385 - 25 = 29000353 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 127642 + ... + 127868.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 229000385 is an apocalyptic number.

It is an amenable number.

29000385 is a deficient number, since it is larger than the sum of its proper divisors (24778431).

29000385 is a wasteful number, since it uses less digits than its factorization.

29000385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 29000385 is about 5385.2005533685. The cubic root of 29000385 is about 307.2330421510.

Subtracting from 29000385 its product of nonzero digits (2160), we obtain a square (28998225 = 53852).

The spelling of 29000385 in words is "twenty-nine million, three hundred eighty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 17 45 51 85 153 167 227 255 501 681 765 835 1135 1503 2043 2505 2839 3405 3859 7515 8517 10215 11577 14195 19295 25551 34731 37909 42585 57885 113727 127755 173655 189545 341181 568635 644453 1705905 1933359 3222265 5800077 9666795 29000385