Search a number
-
+
29529056 = 252353757
BaseRepresentation
bin111000010100…
…1001111100000
32001120020020202
41300221033200
530024412211
62532524332
7505664354
oct160511740
961506222
1029529056
1115739687
129a806a8
13616b81b
143cc9464
1528d453b
hex1c293e0

29529056 has 48 divisors (see below), whose sum is σ = 61889184. Its totient is φ = 13837824.

The previous prime is 29529053. The next prime is 29529091. The reversal of 29529056 is 65092592.

It is a super-2 number, since 2×295290562 = 1743930296502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29529053) 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 7 ways as a sum of consecutive naturals, for example, 38630 + ... + 39386.

It is an arithmetic number, because the mean of its divisors is an integer number (1289358).

Almost surely, 229529056 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 29529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30944592).

29529056 is an abundant number, since it is smaller than the sum of its proper divisors (32360128).

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

29529056 is a wasteful number, since it uses less digits than its factorization.

29529056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 29529056 is about 5434.0644088932. The cubic root of 29529056 is about 309.0887426083.

The spelling of 29529056 in words is "twenty-nine million, five hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 757 848 1219 1514 1696 2438 3028 4876 6056 9752 12112 17411 19504 24224 34822 39008 40121 69644 80242 139288 160484 278576 320968 557152 641936 922783 1283872 1845566 3691132 7382264 14764528 29529056