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29443986 = 23411133141
BaseRepresentation
bin111000001010…
…0011110010010
32001101220120000
41300110132102
530014201421
62531030430
7505161345
oct160243622
961356500
1029443986
1115690780
129a3b416
13613bba0
143ca645c
1528b9226
hex1c14792

29443986 has 160 divisors (see below), whose sum is σ = 81962496. Its totient is φ = 7776000.

The previous prime is 29443969. The next prime is 29444003. The reversal of 29443986 is 68934492.

It is an interprime number because it is at equal distance from previous prime (29443969) and next prime (29444003).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 718126 + ... + 718166.

Almost surely, 229443986 is an apocalyptic number.

29443986 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29443986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40981248).

29443986 is an abundant number, since it is smaller than the sum of its proper divisors (52518510).

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

29443986 is a wasteful number, since it uses less digits than its factorization.

29443986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 29443986 is about 5426.2312888413. The cubic root of 29443986 is about 308.7916400974.

The spelling of 29443986 in words is "twenty-nine million, four hundred forty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 41 54 62 66 78 81 82 93 99 117 123 143 162 186 198 234 246 279 286 297 341 351 369 403 429 451 533 558 594 682 702 738 806 837 858 891 902 1023 1053 1066 1107 1209 1271 1287 1353 1599 1674 1782 2046 2106 2214 2418 2511 2542 2574 2706 3069 3198 3321 3627 3813 3861 4059 4433 4797 5022 5863 6138 6642 7254 7626 7722 8118 8866 9207 9594 10881 11439 11583 11726 12177 13299 13981 14391 16523 17589 18414 21762 22878 23166 24354 26598 27621 27962 28782 32643 33046 34317 35178 36531 39897 41943 43173 49569 52767 55242 65286 68634 73062 79794 83886 86346 99138 102951 105534 119691 125829 148707 158301 181753 205902 239382 251658 297414 316602 359073 363506 377487 446121 474903 545259 718146 754974 892242 949806 1090518 1132461 1338363 1635777 2264922 2676726 3271554 4907331 9814662 14721993 29443986