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29080608 = 25317103173
BaseRepresentation
bin110111011101…
…1110000100000
32000201110002120
41232323300200
524421034413
62515144240
7502116054
oct156736040
960643076
1029080608
1115462767
1298a5080
13604267b
143c0dc64
152846723
hex1bbbc20

29080608 has 96 divisors (see below), whose sum is σ = 82083456. Its totient is φ = 8982528.

The previous prime is 29080561. The next prime is 29080619. The reversal of 29080608 is 80608092.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 168010 + ... + 168182.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 229080608 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 29080608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728).

29080608 is an abundant number, since it is smaller than the sum of its proper divisors (53002848).

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

29080608 is a wasteful number, since it uses less digits than its factorization.

29080608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 29080608 is about 5392.6438784700. The cubic root of 29080608 is about 307.5160782128.

The spelling of 29080608 in words is "twenty-nine million, eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 136 173 204 206 272 309 346 408 412 519 544 618 692 816 824 1038 1236 1384 1632 1648 1751 2076 2472 2768 2941 3296 3502 4152 4944 5253 5536 5882 7004 8304 8823 9888 10506 11764 14008 16608 17646 17819 21012 23528 28016 35292 35638 42024 47056 53457 56032 70584 71276 84048 94112 106914 141168 142552 168096 213828 282336 285104 302923 427656 570208 605846 855312 908769 1211692 1710624 1817538 2423384 3635076 4846768 7270152 9693536 14540304 29080608