Base | Representation |
---|---|
bin | 1010000101011… |
… | …1111101000100 |
3 | 2221121020012220 |
4 | 2201113331010 |
5 | 41312201200 |
6 | 4110412340 |
7 | 1022400144 |
oct | 241277504 |
9 | 87536186 |
10 | 42303300 |
11 | 21974106 |
12 | 122010b0 |
13 | 89c2050 |
14 | 5892924 |
15 | 3aa94a0 |
hex | 2857f44 |
42303300 has 72 divisors (see below), whose sum is σ = 131824896. Its totient is φ = 10412160.
The previous prime is 42303277. The next prime is 42303301. The reversal of 42303300 is 330324.
42303300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 42303300.
It is not an unprimeable number, because it can be changed into a prime (42303301) 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, 1524 + ... + 9323.
Almost surely, 242303300 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 42303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65912448).
42303300 is an abundant number, since it is smaller than the sum of its proper divisors (89521596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42303300 is a wasteful number, since it uses less digits than its factorization.
42303300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10877 (or 10870 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 15.
The square root of 42303300 is about 6504.0987077381. The cubic root of 42303300 is about 348.4373876745.
Adding to 42303300 its reverse (330324), we get a palindrome (42633624).
The spelling of 42303300 in words is "forty-two million, three hundred three thousand, three hundred".
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