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29128212 = 223223127277
BaseRepresentation
bin110111100011…
…1011000010100
32000210212101200
41233013120110
524424100322
62520152500
7502404621
oct157073024
960725350
1029128212
1115495503
129908730
13605b239
143c23348
1528558ac
hex1bc7614

29128212 has 72 divisors (see below), whose sum is σ = 77715456. Its totient is φ = 9180864.

The previous prime is 29128207. The next prime is 29128219. The reversal of 29128212 is 21282192.

It is a super-3 number, since 3×291282123 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29128219) 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 23 ways as a sum of consecutive naturals, for example, 105018 + ... + 105294.

Almost surely, 229128212 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 29128212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38857728).

29128212 is an abundant number, since it is smaller than the sum of its proper divisors (48587244).

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

29128212 is a wasteful number, since it uses less digits than its factorization.

29128212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 29128212 is about 5397.0558640800. The cubic root of 29128212 is about 307.6837846421.

The spelling of 29128212 in words is "twenty-nine million, one hundred twenty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 127 138 207 254 276 277 381 414 508 554 762 828 831 1108 1143 1524 1662 2286 2493 2921 3324 4572 4986 5842 6371 8763 9972 11684 12742 17526 19113 25484 26289 35052 35179 38226 52578 57339 70358 76452 105156 105537 114678 140716 211074 229356 316611 422148 633222 809117 1266444 1618234 2427351 3236468 4854702 7282053 9709404 14564106 29128212