Search a number
-
+
29055168 = 263273691
BaseRepresentation
bin110111011010…
…1100011000000
32000200011012100
41232311203000
524414231133
62514430400
7501651642
oct156654300
960604170
1029055168
111544563a
129892400
136033c0c
143c04892
15283de13
hex1bb58c0

29055168 has 84 divisors (see below), whose sum is σ = 84544408. Its totient is φ = 9538560.

The previous prime is 29055163. The next prime is 29055181. The reversal of 29055168 is 86155092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29055163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41703 + ... + 42393.

Almost surely, 229055168 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 29055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42272204).

29055168 is an abundant number, since it is smaller than the sum of its proper divisors (55489240).

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

29055168 is a wasteful number, since it uses less digits than its factorization.

29055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 29055168 is about 5390.2845935999. The cubic root of 29055168 is about 307.4263793613.

The spelling of 29055168 in words is "twenty-nine million, fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 691 876 1168 1314 1382 1752 2073 2336 2628 2764 3504 4146 4672 5256 5528 6219 7008 8292 10512 11056 12438 14016 16584 21024 22112 24876 33168 42048 44224 49752 50443 66336 99504 100886 132672 151329 199008 201772 302658 398016 403544 453987 605316 807088 907974 1210632 1614176 1815948 2421264 3228352 3631896 4842528 7263792 9685056 14527584 29055168