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8249241 = 3711134167
BaseRepresentation
bin11111011101111110011001
3120112002211110
4133131332121
54102433431
6452450533
7130055160
oct37357631
916462743
108249241
114724860
122919a49
13192aa10
14114a3d7
15ace346
hex7ddf99

8249241 has 64 divisors (see below), whose sum is σ = 15353856. Its totient is φ = 3801600.

The previous prime is 8249207. The next prime is 8249303. The reversal of 8249241 is 1429428.

It is not a de Polignac number, because 8249241 - 26 = 8249177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8249199 and 8249208.

It is not an unprimeable number, because it can be changed into a prime (8249041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123090 + ... + 123156.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 28249241 is an apocalyptic number.

It is an amenable number.

8249241 is a deficient number, since it is larger than the sum of its proper divisors (7104615).

8249241 is a wasteful number, since it uses less digits than its factorization.

8249241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 4608, while the sum is 30.

The square root of 8249241 is about 2872.1491952891. The cubic root of 8249241 is about 202.0558042730.

The spelling of 8249241 in words is "eight million, two hundred forty-nine thousand, two hundred forty-one".

Divisors: 1 3 7 11 13 21 33 39 41 67 77 91 123 143 201 231 273 287 429 451 469 533 737 861 871 1001 1353 1407 1599 2211 2613 2747 3003 3157 3731 5159 5863 6097 8241 9471 9581 11193 15477 17589 18291 19229 28743 30217 35711 41041 57687 67067 90651 107133 123123 201201 211519 249977 392821 634557 749931 1178463 2749747 8249241