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29006712 = 2332767859
BaseRepresentation
bin110111010100…
…1101101111000
32000120200201200
41232221231320
524411203322
62513414200
7501360450
oct156515570
960520650
1029006712
1115412199
12986a360
136017b47
143bd0d60
15282e8ac
hex1ba9b78

29006712 has 96 divisors (see below), whose sum is σ = 91228800. Its totient is φ = 8154432.

The previous prime is 29006693. The next prime is 29006717. The reversal of 29006712 is 21760092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29006717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33339 + ... + 34197.

It is an arithmetic number, because the mean of its divisors is an integer number (950300).

Almost surely, 229006712 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 29006712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45614400).

29006712 is an abundant number, since it is smaller than the sum of its proper divisors (62222088).

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

29006712 is a wasteful number, since it uses less digits than its factorization.

29006712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 29006712 is about 5385.7879646343. The cubic root of 29006712 is about 307.2553834879.

The spelling of 29006712 in words is "twenty-nine million, six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 859 938 1206 1407 1608 1718 1876 2412 2577 2814 3436 3752 4221 4824 5154 5628 6013 6872 7731 8442 10308 11256 12026 15462 16884 18039 20616 24052 30924 33768 36078 48104 54117 57553 61848 72156 108234 115106 144312 172659 216468 230212 345318 402871 432936 460424 517977 690636 805742 1035954 1208613 1381272 1611484 2071908 2417226 3222968 3625839 4143816 4834452 7251678 9668904 14503356 29006712