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239205393 = 347312439
BaseRepresentation
bin11100100000111…
…11110000010001
3121200002220010000
432100133300101
5442214033033
635423000213
75633132550
oct1620376021
9550086100
10239205393
11113030609
1268139069
133a73326b
1423aa9d97
1516000a13
hexe41fc11

239205393 has 60 divisors (see below), whose sum is σ = 422938560. Its totient is φ = 131978160.

The previous prime is 239205371. The next prime is 239205409. The reversal of 239205393 is 393502932.

It is not a de Polignac number, because 239205393 - 25 = 239205361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (239205353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 544668 + ... + 545106.

It is an arithmetic number, because the mean of its divisors is an integer number (7048976).

Almost surely, 2239205393 is an apocalyptic number.

It is an amenable number.

239205393 is a deficient number, since it is larger than the sum of its proper divisors (183733167).

239205393 is an equidigital number, since it uses as much as digits as its factorization.

239205393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 239205393 is about 15466.2662915133. The cubic root of 239205393 is about 620.7599015812.

The spelling of 239205393 in words is "two hundred thirty-nine million, two hundred five thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 439 567 651 837 961 1317 1953 2511 2883 3073 3951 5859 6727 8649 9219 11853 13609 17577 20181 25947 27657 35559 40827 60543 77841 82971 95263 122481 181629 248913 285789 367443 421879 544887 857367 1102329 1265637 2572101 2953153 3796911 7716303 8859459 11390733 26578377 34172199 79735131 239205393