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29712 = 243619
BaseRepresentation
bin111010000010000
31111202110
413100100
51422322
6345320
7152424
oct72020
944673
1029712
1120361
1215240
13106a7
14ab84
158c0c
hex7410

29712 has 20 divisors (see below), whose sum is σ = 76880. Its totient is φ = 9888.

The previous prime is 29683. The next prime is 29717. The reversal of 29712 is 21792.

It is a happy number.

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

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29712.

It is not an unprimeable number, because it can be changed into a prime (29717) by changing a digit.

29712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

229712 is an apocalyptic number.

It is an amenable number.

29712 is an abundant number, since it is smaller than the sum of its proper divisors (47168).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38440).

29712 is a wasteful number, since it uses less digits than its factorization.

29712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

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

The square root of 29712 is about 172.3716914113. The cubic root of 29712 is about 30.9725737308.

It can be divided in two parts, 29 and 712, that added together give a triangular number (741 = T38).

The spelling of 29712 in words is "twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 619 1238 1857 2476 3714 4952 7428 9904 14856 29712