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438190489 = 1141732
BaseRepresentation
bin11010000111100…
…100000110011001
31010112112101100101
4122013210012121
51344134043424
6111251535401
713600362202
oct3207440631
91115471311
10438190489
11205390000
121028ba561
136ca23619
14422a65a9
1528709344
hex1a1e4199

438190489 has 15 divisors (see below), whose sum is σ = 484808815. Its totient is φ = 396052360.

The previous prime is 438190477. The next prime is 438190499. The reversal of 438190489 is 984091834.

The square root of 438190489 is 20933.

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

It can be written as a sum of positive squares in only one way, i.e., 398601225 + 39589264 = 19965^2 + 6292^2 .

It is a de Polignac number, because none of the positive numbers 2k-438190489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438190409) 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 14 ways as a sum of consecutive naturals, for example, 2532807 + ... + 2532979.

Almost surely, 2438190489 is an apocalyptic number.

438190489 is the 20933-rd square number.

438190489 is the 10467-th centered octagonal number.

It is an amenable number.

438190489 is a deficient number, since it is larger than the sum of its proper divisors (46618326).

438190489 is an frugal number, since it uses more digits than its factorization.

438190489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The cubic root of 438190489 is about 759.5464104329.

The spelling of 438190489 in words is "four hundred thirty-eight million, one hundred ninety thousand, four hundred eighty-nine".

Divisors: 1 11 121 173 1331 1903 14641 20933 29929 230263 329219 2532893 3621409 39835499 438190489