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4241205 = 3253072
BaseRepresentation
bin10000001011011100110101
321222110211200
4100023130311
52041204310
6230523113
751023013
oct20133465
97873750
104241205
112437531
121506499
13b565b7
147c58b3
1558b9c0
hex40b735

4241205 has 18 divisors (see below), whose sum is σ = 7375446. Its totient is φ = 2254608.

The previous prime is 4241201. The next prime is 4241207. The reversal of 4241205 is 5021424.

It can be written as a sum of positive squares in only one way, i.e., 3392964 + 848241 = 1842^2 + 921^2 .

It is not a de Polignac number, because 4241205 - 22 = 4241201 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13662 + ... + 13968.

It is an arithmetic number, because the mean of its divisors is an integer number (409747).

Almost surely, 24241205 is an apocalyptic number.

4241205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4241205 is a deficient number, since it is larger than the sum of its proper divisors (3134241).

4241205 is an equidigital number, since it uses as much as digits as its factorization.

4241205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4241205 is about 2059.4186072773. The cubic root of 4241205 is about 161.8687780538.

Multiplying 4241205 by its product of nonzero digits (320), we get a square (1357185600 = 368402).

Adding to 4241205 its reverse (5021424), we get a palindrome (9262629).

The spelling of 4241205 in words is "four million, two hundred forty-one thousand, two hundred five".

Divisors: 1 3 5 9 15 45 307 921 1535 2763 4605 13815 94249 282747 471245 848241 1413735 4241205