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29047842 = 233836481
BaseRepresentation
bin110111011001…
…1110000100010
32000122210011000
41232303300202
524414012332
62514332430
7501621405
oct156636042
960583130
1029047842
111544008a
12988a116
136030795
143c01d3c
15283bb7c
hex1bb3c22

29047842 has 32 divisors (see below), whose sum is σ = 65338560. Its totient is φ = 9564480.

The previous prime is 29047841. The next prime is 29047861. The reversal of 29047842 is 24874092.

It is a junction number, because it is equal to n+sod(n) for n = 29047797 and 29047806.

It is not an unprimeable number, because it can be changed into a prime (29047841) 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 15 ways as a sum of consecutive naturals, for example, 1242 + ... + 7722.

It is an arithmetic number, because the mean of its divisors is an integer number (2041830).

Almost surely, 229047842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29047842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32669280).

29047842 is an abundant number, since it is smaller than the sum of its proper divisors (36290718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29047842 is a wasteful number, since it uses less digits than its factorization.

29047842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29047842 is about 5389.6049948025. The cubic root of 29047842 is about 307.4005389214.

The spelling of 29047842 in words is "twenty-nine million, forty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 6481 12962 19443 38886 58329 116658 174987 349974 537923 1075846 1613769 3227538 4841307 9682614 14523921 29047842