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29172 = 223111317
BaseRepresentation
bin111000111110100
31111000110
413013310
51413142
6343020
7151023
oct70764
944013
1029172
111aa10
1214a70
1310380
14a8ba
15899c
hex71f4

29172 has 48 divisors (see below), whose sum is σ = 84672. Its totient is φ = 7680.

The previous prime is 29167. The next prime is 29173. The reversal of 29172 is 27192.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29172.

It is not an unprimeable number, because it can be changed into a prime (29173) by changing a digit.

29172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

229172 is an apocalyptic number.

29172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

29172 is an abundant number, since it is smaller than the sum of its proper divisors (55500).

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

29172 is a wasteful number, since it uses less digits than its factorization.

29172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 29172 is about 170.7981264534. The cubic root of 29172 is about 30.7837886240.

Subtracting from 29172 its product of digits (252), we obtain a triangular number (28920 = T240).

It can be divided in two parts, 291 and 72, that added together give a palindrome (363).

The spelling of 29172 in words is "twenty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 4862 7293 9724 14586 29172