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459968058 = 23411258119
BaseRepresentation
bin11011011010101…
…000111000111010
31012001111210120000
4123122220320322
51420222434213
6113350413430
714253443514
oct3332507072
91161453500
10459968058
112167048a0
1210a061276
13743a9b64
1445134bb4
152a5abc73
hex1b6a8e3a

459968058 has 40 divisors (see below), whose sum is σ = 1124370720. Its totient is φ = 139383720.

The previous prime is 459968023. The next prime is 459968059. The reversal of 459968058 is 850869954.

It is a happy number.

It is a super-3 number, since 3×4599680583 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 459967995 and 459968013.

It is not an unprimeable number, because it can be changed into a prime (459968059) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 127278 + ... + 130841.

It is an arithmetic number, because the mean of its divisors is an integer number (28109268).

Almost surely, 2459968058 is an apocalyptic number.

459968058 is an abundant number, since it is smaller than the sum of its proper divisors (664402662).

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

459968058 is a wasteful number, since it uses less digits than its factorization.

459968058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258144 (or 258135 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 459968058 is about 21446.8659248852. The cubic root of 459968058 is about 771.9263948098.

The spelling of 459968058 in words is "four hundred fifty-nine million, nine hundred sixty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 258119 516238 774357 1548714 2323071 2839309 4646142 5678618 6969213 8517927 13938426 17035854 20907639 25553781 41815278 51107562 76661343 153322686 229984029 459968058