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493417369 = 9722292
BaseRepresentation
bin11101011010001…
…111001110011001
31021101110012101101
4131122033032121
52002303323434
6120543351401
715140656414
oct3532171631
91241405341
10493417369
11233580855
121192b2561
137b2bbb53
1449760b7b
152d4b7b14
hex1d68f399

493417369 has 9 divisors (see below), whose sum is σ = 500743197. Its totient is φ = 486198144.

The previous prime is 493417319. The next prime is 493417373. The reversal of 493417369 is 963714394.

The square root of 493417369 is 22213.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 100902025 + 392515344 = 10045^2 + 19812^2 .

It is not a de Polignac number, because 493417369 - 213 = 493409177 is a prime.

It is a super-2 number, since 2×4934173692 = 486921400061764322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (493417319) 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 8 ways as a sum of consecutive naturals, for example, 2154547 + ... + 2154775.

It is an arithmetic number, because the mean of its divisors is an integer number (55638133).

Almost surely, 2493417369 is an apocalyptic number.

493417369 is the 22213-rd square number.

493417369 is the 11107-th centered octagonal number.

It is an amenable number.

493417369 is a deficient number, since it is larger than the sum of its proper divisors (7325828).

493417369 is an frugal number, since it uses more digits than its factorization.

493417369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its digits is 489888, while the sum is 46.

The cubic root of 493417369 is about 790.2020361329.

The spelling of 493417369 in words is "four hundred ninety-three million, four hundred seventeen thousand, three hundred sixty-nine".

Divisors: 1 97 229 9409 22213 52441 2154661 5086777 493417369