[go: up one dir, main page]

Search a number
-
+
29193696 = 253471609
BaseRepresentation
bin110111101011…
…1010111100000
32000221012020000
41233113113200
524433144241
62521420000
7503066550
oct157272740
960835200
1029193696
111552a724
12993a600
136081c9c
143c3d160
152869eb6
hex1bd75e0

29193696 has 120 divisors (see below), whose sum is σ = 98184240. Its totient is φ = 8335872.

The previous prime is 29193677. The next prime is 29193701. The reversal of 29193696 is 69639192.

It is a happy number.

It is a super-2 number, since 2×291936962 = 1704543772280832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17340 + ... + 18948.

It is an arithmetic number, because the mean of its divisors is an integer number (818202).

Almost surely, 229193696 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 29193696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49092120).

29193696 is an abundant number, since it is smaller than the sum of its proper divisors (68990544).

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

29193696 is a wasteful number, since it uses less digits than its factorization.

29193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1621 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 29193696 is about 5403.1190991871. The cubic root of 29193696 is about 307.9141830965.

The spelling of 29193696 in words is "twenty-nine million, one hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 1609 2016 2268 2592 3024 3218 4536 4827 6048 6436 9072 9654 11263 12872 14481 18144 19308 22526 25744 28962 33789 38616 43443 45052 51488 57924 67578 77232 86886 90104 101367 115848 130329 135156 154464 173772 180208 202734 231696 260658 270312 304101 347544 360416 405468 463392 521316 540624 608202 695088 810936 912303 1042632 1081248 1216404 1390176 1621872 1824606 2085264 2432808 3243744 3649212 4170528 4865616 7298424 9731232 14596848 29193696