Search a number
-
+
29015056 = 247317311
BaseRepresentation
bin110111010101…
…1110000010000
32000121010011201
41232223300100
524411440211
62513520544
7501424000
oct156536020
960533151
1029015056
1115418494
129873154
13601b895
143bd4000
1528320c1
hex1babc10

29015056 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 11665920.

The previous prime is 29014991. The next prime is 29015069. The reversal of 29015056 is 65051092.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93141 + ... + 93451.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 229015056 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 29015056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

29015056 is an abundant number, since it is smaller than the sum of its proper divisors (40623344).

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

29015056 is a wasteful number, since it uses less digits than its factorization.

29015056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 29015056 is about 5386.5625402477. The cubic root of 29015056 is about 307.2848421081.

The spelling of 29015056 in words is "twenty-nine million, fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 311 343 392 476 622 686 784 833 952 1244 1372 1666 1904 2177 2488 2744 3332 4354 4976 5287 5488 5831 6664 8708 10574 11662 13328 15239 17416 21148 23324 30478 34832 37009 42296 46648 60956 74018 84592 93296 106673 121912 148036 213346 243824 259063 296072 426692 518126 592144 853384 1036252 1706768 1813441 2072504 3626882 4145008 7253764 14507528 29015056