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29226834 = 23272132549
BaseRepresentation
bin110111101111…
…1011101010010
32000222212200100
41233133131102
524440224314
62522233230
7503265300
oct157373522
960885610
1029226834
111555260a
129955816
1360940b0
143c4b270
152874c09
hex1bdf752

29226834 has 72 divisors (see below), whose sum is σ = 79361100. Its totient is φ = 7705152.

The previous prime is 29226833. The next prime is 29226839. The reversal of 29226834 is 43862292.

It can be written as a sum of positive squares in 2 ways, for example, as 29127609 + 99225 = 5397^2 + 315^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29226833) 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 35 ways as a sum of consecutive naturals, for example, 10192 + ... + 12740.

Almost surely, 229226834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29226834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680550).

29226834 is an abundant number, since it is smaller than the sum of its proper divisors (50134266).

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

29226834 is a wasteful number, since it uses less digits than its factorization.

29226834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2574 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 29226834 is about 5406.1847915143. The cubic root of 29226834 is about 308.0306443339.

The spelling of 29226834 in words is "twenty-nine million, two hundred twenty-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 2549 3822 5098 5733 7647 11466 15294 17843 22941 33137 35686 45882 53529 66274 99411 107058 124901 160587 198822 231959 249802 298233 321174 374703 463918 596466 695877 749406 1124109 1391754 1623713 2087631 2248218 3247426 4175262 4871139 9742278 14613417 29226834