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29164149 = 32731109137
BaseRepresentation
bin110111101000…
…0001001110101
32000212200200200
41233100021311
524431223044
62521031113
7502614450
oct157201165
960780620
1029164149
111550a503
129925499
1360716c1
143c32497
152861369
hex1bd0275

29164149 has 48 divisors (see below), whose sum is σ = 50519040. Its totient is φ = 15863040.

The previous prime is 29164127. The next prime is 29164171. The reversal of 29164149 is 94146192.

It is a happy number.

29164149 is a `hidden beast` number, since 2 + 9 + 1 + 641 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (29164127) and next prime (29164171).

It is not a de Polignac number, because 29164149 - 27 = 29164021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29164249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212809 + ... + 212945.

It is an arithmetic number, because the mean of its divisors is an integer number (1052480).

Almost surely, 229164149 is an apocalyptic number.

It is an amenable number.

29164149 is a deficient number, since it is larger than the sum of its proper divisors (21354891).

29164149 is a wasteful number, since it uses less digits than its factorization.

29164149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 29164149 is about 5400.3841530025. The cubic root of 29164149 is about 307.8102678375.

The spelling of 29164149 in words is "twenty-nine million, one hundred sixty-four thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 31 63 93 109 137 217 279 327 411 651 763 959 981 1233 1953 2289 2877 3379 4247 6867 8631 10137 12741 14933 23653 29729 30411 38223 44799 70959 89187 104531 134397 212877 267561 313593 462923 940779 1388769 3240461 4166307 9721383 29164149