Base | Representation |
---|---|
bin | 11001011100111… |
… | …000100101010000 |
3 | 1002202110221220000 |
4 | 121130320211100 |
5 | 1333303032232 |
6 | 110212050000 |
7 | 13403313231 |
oct | 3134704520 |
9 | 1082427800 |
10 | 427002192 |
11 | 1aa039081 |
12 | bb003900 |
13 | 6a606c26 |
14 | 409d3088 |
15 | 2774927c |
hex | 19738950 |
427002192 has 100 divisors (see below), whose sum is σ = 1308633876. Its totient is φ = 133954560.
The previous prime is 427002187. The next prime is 427002193. The reversal of 427002192 is 291200724.
It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 95179536 = 18216^2 + 9756^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (427002193) 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 19 ways as a sum of consecutive naturals, for example, 12342 + ... + 31722.
Almost surely, 2427002192 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 427002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654316938).
427002192 is an abundant number, since it is smaller than the sum of its proper divisors (881631684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427002192 is a wasteful number, since it uses less digits than its factorization.
427002192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19418 (or 19403 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 27.
The square root of 427002192 is about 20664.0313588612. The cubic root of 427002192 is about 753.0261097913.
The spelling of 427002192 in words is "four hundred twenty-seven million, two thousand, one hundred ninety-two".
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