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29019012 = 223111911151
BaseRepresentation
bin110111010110…
…0101110000100
32000121022121020
41232230232010
524412102022
62513551140
7501441351
oct156545604
960538536
1029019012
1115420460
1298754b0
136020619
143bd5628
15283335c
hex1bacb84

29019012 has 48 divisors (see below), whose sum is σ = 74317824. Its totient is φ = 8740000.

The previous prime is 29018993. The next prime is 29019019. The reversal of 29019012 is 21091092.

It is a super-2 number, since 2×290190122 = 1684206114912288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29019019) 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 15 ways as a sum of consecutive naturals, for example, 24637 + ... + 25787.

It is an arithmetic number, because the mean of its divisors is an integer number (1548288).

Almost surely, 229019012 is an apocalyptic number.

29019012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29019012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37158912).

29019012 is an abundant number, since it is smaller than the sum of its proper divisors (45298812).

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

29019012 is a wasteful number, since it uses less digits than its factorization.

29019012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 29019012 is about 5386.9297378006. The cubic root of 29019012 is about 307.2988068533.

The spelling of 29019012 in words is "twenty-nine million, nineteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 1151 2101 2292 2302 3453 4202 4604 6303 6906 8404 12606 12661 13812 25212 25322 37983 50644 75966 151932 219841 439682 659523 879364 1319046 2418251 2638092 4836502 7254753 9673004 14509506 29019012