Base | Representation |
---|---|
bin | 11001011101000… |
… | …010010110110000 |
3 | 1002202112222210200 |
4 | 121131002112300 |
5 | 1333310322344 |
6 | 110212555200 |
7 | 13403541030 |
oct | 3135022660 |
9 | 1082488720 |
10 | 427042224 |
11 | 1aa066164 |
12 | bb022b00 |
13 | 6a61c20b |
14 | 40a038c0 |
15 | 27756069 |
hex | 197425b0 |
427042224 has 120 divisors (see below), whose sum is σ = 1399306272. Its totient is φ = 119024640.
The previous prime is 427042207. The next prime is 427042229. The reversal of 427042224 is 422240724.
It is a Cunningham number, because it is equal to 206652-1.
It is a super-2 number, since 2×4270422242 = 364730122157732352, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (427042229) 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 23 ways as a sum of consecutive naturals, for example, 36162 + ... + 46494.
Almost surely, 2427042224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 427042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699653136).
427042224 is an abundant number, since it is smaller than the sum of its proper divisors (972264048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427042224 is a wasteful number, since it uses less digits than its factorization.
427042224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10395 (or 10386 counting only the distinct ones).
The product of its (nonzero) digits is 7168, while the sum is 27.
The square root of 427042224 is about 20664.9999758045. Note that the first 4 decimals coincide. The cubic root of 427042224 is about 753.0496414420.
Adding to 427042224 its reverse (422240724), we get a palindrome (849282948).
The spelling of 427042224 in words is "four hundred twenty-seven million, forty-two thousand, two hundred twenty-four".
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