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33241 = 132557
BaseRepresentation
bin1000000111011001
31200121011
420013121
52030431
6413521
7165625
oct100731
950534
1033241
1122a7a
12172a1
1312190
14c185
159cb1
hex81d9

33241 has 4 divisors (see below), whose sum is σ = 35812. Its totient is φ = 30672.

The previous prime is 33223. The next prime is 33247. The reversal of 33241 is 14233.

Adding to 33241 its reverse (14233), we get a palindrome (47474).

It can be divided in two parts, 332 and 41, that added together give a palindrome (373).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 14233 = 43331.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 24025 = 96^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 33241 - 27 = 33113 is a prime.

It is a super-3 number, since 3×332413 = 110190333049563, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 2557 = 33241 / (3 + 3 + 2 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33247) 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 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (8953).

233241 is an apocalyptic number.

It is an amenable number.

33241 is a deficient number, since it is larger than the sum of its proper divisors (2571).

33241 is a wasteful number, since it uses less digits than its factorization.

33241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570.

The product of its digits is 72, while the sum is 13.

The square root of 33241 is about 182.3211452355. The cubic root of 33241 is about 32.1532363894.

The spelling of 33241 in words is "thirty-three thousand, two hundred forty-one".

Divisors: 1 13 2557 33241