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29140432 = 246173409
BaseRepresentation
bin110111100101…
…0010111010000
32000211111011021
41233022113100
524424443212
62520325224
7502455346
oct157122720
960744137
1029140432
11154a3702
129913814
136063979
143c27996
152859307
hex1bca5d0

29140432 has 40 divisors (see below), whose sum is σ = 58313480. Its totient is φ = 14100480.

The previous prime is 29140427. The next prime is 29140439. The reversal of 29140432 is 23404192.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 25361296 = 1944^2 + 5036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29140397 and 29140406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29140439) 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 7 ways as a sum of consecutive naturals, for example, 71044 + ... + 71452.

It is an arithmetic number, because the mean of its divisors is an integer number (1457837).

Almost surely, 229140432 is an apocalyptic number.

It is an amenable number.

29140432 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

29140432 is a wasteful number, since it uses less digits than its factorization.

29140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 29140432 is about 5398.1878440825. The cubic root of 29140432 is about 307.7268055936.

The spelling of 29140432 in words is "twenty-nine million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 61 73 122 146 244 292 409 488 584 818 976 1168 1636 3272 4453 6544 8906 17812 24949 29857 35624 49898 59714 71248 99796 119428 199592 238856 399184 477712 1821277 3642554 7285108 14570216 29140432