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29337 = 3711127
BaseRepresentation
bin111001010011001
31111020120
413022121
51414322
6343453
7151350
oct71231
944216
1029337
1120050
1214b89
1310479
14a997
158a5c
hex7299

29337 has 16 divisors (see below), whose sum is σ = 49152. Its totient is φ = 15120.

The previous prime is 29333. The next prime is 29339. The reversal of 29337 is 73392.

It is not a de Polignac number, because 29337 - 22 = 29333 is a prime.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29337.

It is not an unprimeable number, because it can be changed into a prime (29333) 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, 168 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (3072).

229337 is an apocalyptic number.

It is an amenable number.

29337 is a deficient number, since it is larger than the sum of its proper divisors (19815).

29337 is a wasteful number, since it uses less digits than its factorization.

29337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its digits is 1134, while the sum is 24.

The square root of 29337 is about 171.2804717415. The cubic root of 29337 is about 30.8417183591.

Subtracting from 29337 its product of digits (1134), we obtain a triangular number (28203 = T237).

It can be divided in two parts, 2 and 9337, that added together give a palindrome (9339).

The spelling of 29337 in words is "twenty-nine thousand, three hundred thirty-seven".

Divisors: 1 3 7 11 21 33 77 127 231 381 889 1397 2667 4191 9779 29337