Base | Representation |
---|---|
bin | 1010000100000… |
… | …1000110000000 |
3 | 2221102110202220 |
4 | 2201001012000 |
5 | 41301202124 |
6 | 4104411040 |
7 | 1021530150 |
oct | 241010600 |
9 | 87373686 |
10 | 42209664 |
11 | 2190a822 |
12 | 12176a80 |
13 | 898b543 |
14 | 586a760 |
15 | 3a8b879 |
hex | 2841180 |
42209664 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 11735040.
The previous prime is 42209639. The next prime is 42209683. The reversal of 42209664 is 46690224.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110017 + ... + 110399.
It is an arithmetic number, because the mean of its divisors is an integer number (1028160).
Almost surely, 242209664 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 42209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).
42209664 is an abundant number, since it is smaller than the sum of its proper divisors (89394816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42209664 is a wasteful number, since it uses less digits than its factorization.
42209664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 448 (or 436 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 33.
The square root of 42209664 is about 6496.8964898634. The cubic root of 42209664 is about 348.1801155071.
Adding to 42209664 its reverse (46690224), we get a palindrome (88899888).
The spelling of 42209664 in words is "forty-two million, two hundred nine thousand, six hundred sixty-four".
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