Base | Representation |
---|---|
bin | 1010000111010… |
… | …1001111100000 |
3 | 2221211022210000 |
4 | 2201311033200 |
5 | 41330021024 |
6 | 4113140000 |
7 | 1023406662 |
oct | 241651740 |
9 | 87738700 |
10 | 42423264 |
11 | 21a46254 |
12 | 1225a600 |
13 | 8a34830 |
14 | 58c4532 |
15 | 3acecc9 |
hex | 28753e0 |
42423264 has 120 divisors (see below), whose sum is σ = 134469720. Its totient is φ = 13042944.
The previous prime is 42423263. The next prime is 42423289. The reversal of 42423264 is 46232424.
42423264 is a `hidden beast` number, since 424 + 232 + 6 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42423263) 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, 33067 + ... + 34325.
It is an arithmetic number, because the mean of its divisors is an integer number (1120581).
Almost surely, 242423264 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 42423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67234860).
42423264 is an abundant number, since it is smaller than the sum of its proper divisors (92046456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42423264 is a wasteful number, since it uses less digits than its factorization.
42423264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 42423264 is about 6513.3143636708. The cubic root of 42423264 is about 348.7664439003.
Adding to 42423264 its reverse (46232424), we get a palindrome (88655688).
The spelling of 42423264 in words is "forty-two million, four hundred twenty-three thousand, two hundred sixty-four".
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