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29281 = 74789
BaseRepresentation
bin111001001100001
31111011111
413021201
51414111
6343321
7151240
oct71141
944144
1029281
111aaaa
1214b41
1310435
14a957
158a21
hex7261

29281 has 8 divisors (see below), whose sum is σ = 34560. Its totient is φ = 24288.

The previous prime is 29269. The next prime is 29287. The reversal of 29281 is 18292.

29281 is nontrivially palindromic in base 9 and base 12.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29281 - 27 = 29153 is a prime.

It is a super-2 number, since 2×292812 = 1714753922, which contains 22 as substring.

It is a Duffinian number.

29281 is a lucky number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

229281 is an apocalyptic number.

It is an amenable number.

29281 is a deficient number, since it is larger than the sum of its proper divisors (5279).

29281 is an equidigital number, since it uses as much as digits as its factorization.

29281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 288, while the sum is 22.

The square root of 29281 is about 171.1169190933. The cubic root of 29281 is about 30.8220817643.

It can be divided in two parts, 292 and 81, that added together give a palindrome (373).

The spelling of 29281 in words is "twenty-nine thousand, two hundred eighty-one".

Divisors: 1 7 47 89 329 623 4183 29281