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29345888 = 251131353
BaseRepresentation
bin110111111110…
…0100001100000
32001012220222202
41233330201200
530003032023
62524552332
7504302345
oct157744140
961186882
1029345888
1115624000
1299b26a8
136106340
143c7c7cc
15289a128
hex1bfc860

29345888 has 96 divisors (see below), whose sum is σ = 69727392. Its totient is φ = 12080640.

The previous prime is 29345887. The next prime is 29345947. The reversal of 29345888 is 88854392.

It is a super-2 number, since 2×293458882 = 1722362285017088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29345887) 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, 553670 + ... + 553722.

It is an arithmetic number, because the mean of its divisors is an integer number (726327).

Almost surely, 229345888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863696).

29345888 is an abundant number, since it is smaller than the sum of its proper divisors (40381504).

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

29345888 is a wasteful number, since it uses less digits than its factorization.

29345888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its digits is 552960, while the sum is 47.

The square root of 29345888 is about 5417.1845085801. The cubic root of 29345888 is about 308.4483266881.

The spelling of 29345888 in words is "twenty-nine million, three hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 53 88 104 106 121 143 176 208 212 242 286 352 416 424 484 572 583 689 848 968 1144 1166 1331 1378 1573 1696 1936 2288 2332 2662 2756 3146 3872 4576 4664 5324 5512 6292 6413 7579 9328 10648 11024 12584 12826 15158 17303 18656 21296 22048 25168 25652 30316 34606 42592 50336 51304 60632 69212 70543 83369 102608 121264 138424 141086 166738 205216 242528 276848 282172 333476 553696 564344 666952 917059 1128688 1333904 1834118 2257376 2667808 3668236 7336472 14672944 29345888