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29013192 = 233213139223
BaseRepresentation
bin110111010101…
…1010011001000
32000121000121200
41232223103020
524411410232
62513504200
7501415365
oct156532310
960530550
1029013192
111541704a
129872060
13601aa90
143bd346c
15283177c
hex1bab4c8

29013192 has 96 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 8823168.

The previous prime is 29013181. The next prime is 29013221. The reversal of 29013192 is 29131092.

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 23 ways as a sum of consecutive naturals, for example, 129993 + ... + 130215.

It is an arithmetic number, because the mean of its divisors is an integer number (891800).

Almost surely, 229013192 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 29013192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42806400).

29013192 is an abundant number, since it is smaller than the sum of its proper divisors (56599608).

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

29013192 is a wasteful number, since it uses less digits than its factorization.

29013192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29013192 is about 5386.3895143222. The cubic root of 29013192 is about 307.2782617174.

The spelling of 29013192 in words is "twenty-nine million, thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 139 156 223 234 278 312 417 446 468 556 669 834 892 936 1112 1251 1338 1668 1784 1807 2007 2502 2676 2899 3336 3614 4014 5004 5352 5421 5798 7228 8028 8697 10008 10842 11596 14456 16056 16263 17394 21684 23192 26091 30997 32526 34788 43368 52182 61994 65052 69576 92991 104364 123988 130104 185982 208728 247976 278973 371964 402961 557946 743928 805922 1115892 1208883 1611844 2231784 2417766 3223688 3626649 4835532 7253298 9671064 14506596 29013192