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29058029 = 7211213229
BaseRepresentation
bin110111011011…
…0001111101101
32000200022010022
41232312033231
524414324104
62514451525
7501663200
oct156661755
960608108
1029058029
1115447800
129893ba5
136035300
143c05937
15283ebbe
hex1bb63ed

29058029 has 54 divisors (see below), whose sum is σ = 41619690. Its totient is φ = 20180160.

The previous prime is 29058013. The next prime is 29058047. The reversal of 29058029 is 92085092.

It can be written as a sum of positive squares in 3 ways, for example, as 5929 + 29052100 = 77^2 + 5390^2 .

It is not a de Polignac number, because 29058029 - 24 = 29058013 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29058029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29058059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1001987 + ... + 1002015.

It is an arithmetic number, because the mean of its divisors is an integer number (770735).

Almost surely, 229058029 is an apocalyptic number.

29058029 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

29058029 is a deficient number, since it is larger than the sum of its proper divisors (12561661).

29058029 is a wasteful number, since it uses less digits than its factorization.

29058029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 29058029 is about 5390.5499719416. The cubic root of 29058029 is about 307.4364695686.

The spelling of 29058029 in words is "twenty-nine million, fifty-eight thousand, twenty-nine".

Divisors: 1 7 11 13 29 49 77 91 121 143 169 203 319 377 539 637 847 1001 1183 1421 1573 1859 2233 2639 3509 4147 4901 5929 7007 8281 11011 13013 15631 18473 20449 24563 29029 34307 45617 53911 77077 91091 143143 171941 203203 240149 319319 377377 593021 1002001 2235233 2641639 4151147 29058029