Base | Representation |
---|---|
bin | 11001011101011… |
… | …001001100001000 |
3 | 1002202201202002200 |
4 | 121131121030020 |
5 | 1333321321002 |
6 | 110215000200 |
7 | 13404410511 |
oct | 3135311410 |
9 | 1082652080 |
10 | 427135752 |
11 | 1aa11a45a |
12 | bb069060 |
13 | 6a652964 |
14 | 40a29a08 |
15 | 27773b1c |
hex | 19759308 |
427135752 has 24 divisors (see below), whose sum is σ = 1156826190. Its totient is φ = 142378560.
The previous prime is 427135721. The next prime is 427135759. The reversal of 427135752 is 257531724.
It can be written as a sum of positive squares in only one way, i.e., 245047716 + 182088036 = 15654^2 + 13494^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (427135759) 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 5 ways as a sum of consecutive naturals, for example, 2966149 + ... + 2966292.
Almost surely, 2427135752 is an apocalyptic number.
It is an amenable number.
427135752 is an abundant number, since it is smaller than the sum of its proper divisors (729690438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427135752 is a wasteful number, since it uses less digits than its factorization.
427135752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5932453 (or 5932446 counting only the distinct ones).
The product of its digits is 58800, while the sum is 36.
The square root of 427135752 is about 20667.2628086063. The cubic root of 427135752 is about 753.1046134344.
The spelling of 427135752 in words is "four hundred twenty-seven million, one hundred thirty-five thousand, seven hundred fifty-two".
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