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17242953 = 373131289
BaseRepresentation
bin100000111000…
…1101101001001
31012110000212220
41001301231021
513403233303
61413324253
7266364000
oct101615511
935400786
1017242953
119807982
125936689
133759540
14240bc37
1517a9053
hex1071b49

17242953 has 32 divisors (see below), whose sum is σ = 28896000. Its totient is φ = 9088128.

The previous prime is 17242909. The next prime is 17242961. The reversal of 17242953 is 35924271.

It is not a de Polignac number, because 17242953 - 210 = 17241929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17242903) 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 31 ways as a sum of consecutive naturals, for example, 12733 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (903000).

Almost surely, 217242953 is an apocalyptic number.

17242953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17242953 is a deficient number, since it is larger than the sum of its proper divisors (11653047).

17242953 is a wasteful number, since it uses less digits than its factorization.

17242953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 17242953 is about 4152.4634856914. The cubic root of 17242953 is about 258.3472728748.

The spelling of 17242953 in words is "seventeen million, two hundred forty-two thousand, nine hundred fifty-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1289 1911 3867 4459 9023 13377 16757 27069 50271 63161 117299 189483 351897 442127 821093 1326381 2463279 5747651 17242953