29484 has 60 divisors (see below), whose sum is σ = 94864. Its totient is φ = 7776.

The previous prime is 29483. The next prime is 29501. The reversal of 29484 is 48492.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2304) is a multiple of the sum of its prime factors (36).

It is a nialpdrome in base 3, base 9 and base 14.

It is a zygodrome in base 3 and base 9.

It is not an unprimeable number, because it can be changed into a prime (29483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2262 + ... + 2274.

2^{29484} 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 29484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47432).

29484 is an abundant number, since it is smaller than the sum of its proper divisors (65380).

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

29484 is a wasteful number, since it uses less digits than its factorization.

29484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 25 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 29484 is about 171.7090562551. The cubic root of 29484 is about 30.8931458075.

It can be divided in two parts, 294 and 84, that added together give a triangular number (378 = T_{27}).

The spelling of 29484 in words is "twenty-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484

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