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29012016 = 24311232389
BaseRepresentation
bin110111010101…
…1000000110000
32000120222000010
41232223000300
524411341031
62513454520
7501412065
oct156530060
960528003
1029012016
1115416180
129871440
13601a397
143bd2c6c
152831246
hex1bab030

29012016 has 80 divisors (see below), whose sum is σ = 85351680. Its totient is φ = 8405760.

The previous prime is 29012003. The next prime is 29012017. The reversal of 29012016 is 61021092.

It is a junction number, because it is equal to n+sod(n) for n = 29011983 and 29012001.

It is not an unprimeable number, because it can be changed into a prime (29012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10950 + ... + 13338.

It is an arithmetic number, because the mean of its divisors is an integer number (1066896).

Almost surely, 229012016 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 29012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42675840).

29012016 is an abundant number, since it is smaller than the sum of its proper divisors (56339664).

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

29012016 is a wasteful number, since it uses less digits than its factorization.

29012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 29012016 is about 5386.2803491835. The cubic root of 29012016 is about 307.2741099954.

The spelling of 29012016 in words is "twenty-nine million, twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2389 3036 4048 4778 6072 7167 9556 12144 14334 19112 26279 28668 38224 52558 54947 57336 78837 105116 109894 114672 157674 164841 210232 219788 315348 329682 420464 439576 604417 630696 659364 879152 1208834 1261392 1318728 1813251 2417668 2637456 3626502 4835336 7253004 9670672 14506008 29012016