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459132089 = 132910911173
BaseRepresentation
bin11011010111011…
…100110010111001
31011222221022211012
4123113130302321
51420014211324
6113320443305
714243362343
oct3327346271
91158838735
10459132089
11216193809
12109919535
13741764c0
1444d98293
152a49420e
hex1b5dccb9

459132089 has 16 divisors (see below), whose sum is σ = 516238800. Its totient is φ = 405409536.

The previous prime is 459132071. The next prime is 459132097. The reversal of 459132089 is 980231954.

It can be written as a sum of positive squares in 8 ways, for example, as 4376464 + 454755625 = 2092^2 + 21325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-459132089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459132059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35507 + ... + 46679.

It is an arithmetic number, because the mean of its divisors is an integer number (32264925).

Almost surely, 2459132089 is an apocalyptic number.

It is an amenable number.

459132089 is a deficient number, since it is larger than the sum of its proper divisors (57106711).

459132089 is a wasteful number, since it uses less digits than its factorization.

459132089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 459132089 is about 21427.3677571465. The cubic root of 459132089 is about 771.4584653106.

The spelling of 459132089 in words is "four hundred fifty-nine million, one hundred thirty-two thousand, eighty-nine".

Divisors: 1 13 29 109 377 1417 3161 11173 41093 145249 324017 1217857 4212221 15832141 35317853 459132089