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459138069 = 321337671583
BaseRepresentation
bin11011010111011…
…110010000010101
31011222221122000200
4123113132100111
51420014404234
6113320531113
714243415645
oct3327362025
91158848020
10459138069
11216198255
12109920a99
1374179140
1444d9a525
152a495d99
hex1b5de415

459138069 has 48 divisors (see below), whose sum is σ = 744936192. Its totient is φ = 270635904.

The previous prime is 459138067. The next prime is 459138073. The reversal of 459138069 is 960831954.

It is a happy number.

459138069 is a `hidden beast` number, since 459 + 138 + 0 + 69 = 666.

It is not a de Polignac number, because 459138069 - 21 = 459138067 is a prime.

It is a super-2 number, since 2×4591380692 = 421615532810097522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459138067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289252 + ... + 290834.

It is an arithmetic number, because the mean of its divisors is an integer number (15519504).

Almost surely, 2459138069 is an apocalyptic number.

It is an amenable number.

459138069 is a deficient number, since it is larger than the sum of its proper divisors (285798123).

459138069 is a wasteful number, since it uses less digits than its factorization.

459138069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 459138069 is about 21427.5072978637. The cubic root of 459138069 is about 771.4618146021.

The spelling of 459138069 in words is "four hundred fifty-nine million, one hundred thirty-eight thousand, sixty-nine".

Divisors: 1 3 9 13 37 39 67 111 117 201 333 481 603 871 1443 1583 2479 2613 4329 4749 7437 7839 14247 20579 22311 32227 58571 61737 96681 106061 175713 185211 290043 318183 527139 761423 954549 1378793 2284269 3924257 4136379 6852807 11772771 12409137 35318313 51015341 153046023 459138069