Search a number
-
+
17288096 = 257113683
BaseRepresentation
bin100000111110…
…0101110100000
31012112022210212
41001330232200
513411204341
61414313252
7266642420
oct101745640
935468725
1017288096
119838891
125958828
133773c57
142420480
1517b75eb
hex107cba0

17288096 has 48 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 7332864.

The previous prime is 17288083. The next prime is 17288113. The reversal of 17288096 is 69088271.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24971 + ... + 25653.

It is an arithmetic number, because the mean of its divisors is an integer number (818748).

Almost surely, 217288096 is an apocalyptic number.

17288096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

17288096 is an abundant number, since it is smaller than the sum of its proper divisors (22011808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17288096 is a wasteful number, since it uses less digits than its factorization.

17288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 17288096 is about 4157.8956215855. The cubic root of 17288096 is about 258.5725322018.

The spelling of 17288096 in words is "seventeen million, two hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 683 791 904 1366 1582 1808 2732 3164 3616 4781 5464 6328 9562 10928 12656 19124 21856 25312 38248 76496 77179 152992 154358 308716 540253 617432 1080506 1234864 2161012 2469728 4322024 8644048 17288096