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29526 = 2371937

29526 has 32 divisors (see below), whose sum is σ = 72960. Its totient is φ = 7776.

The previous prime is 29501. The next prime is 29527. The reversal of 29526 is 62592.

It can be divided in two parts, 29 and 526, that added together give a palindrome (555).

29526 = T20 + T21 + ... + T56.

29526 is nontrivially palindromic in base 11.

29526 is an undulating number in base 11.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29496 and 29505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

29526 is a Friedman number, since it can be written as (9^5+6/2)/2, using all its digits and the basic arithmetic operations.

229526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480).

29526 is an abundant number, since it is smaller than the sum of its proper divisors (43434).

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

29526 is a wasteful number, since it uses less digits than its factorization.

29526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68.

The product of its digits is 1080, while the sum is 24.

The square root of 29526 is about 171.8313126296. The cubic root of 29526 is about 30.9078079577.

The spelling of 29526 in words is "twenty-nine thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 399 518 703 777 798 1406 1554 2109 4218 4921 9842 14763 29526