Base | Representation |
---|---|
bin | 1010001000100… |
… | …1101101100000 |
3 | 2221222120210012 |
4 | 2202021231200 |
5 | 41340211404 |
6 | 4115024052 |
7 | 1024206263 |
oct | 242115540 |
9 | 87876705 |
10 | 42507104 |
11 | 21aa3242 |
12 | 1229b028 |
13 | 8a63a43 |
14 | 5906cda |
15 | 3ae9a6e |
hex | 2889b60 |
42507104 has 48 divisors (see below), whose sum is σ = 88865280. Its totient is φ = 19958400.
The previous prime is 42507083. The next prime is 42507109. The reversal of 42507104 is 40170524.
It is a self number, because there is not a number n which added to its sum of digits gives 42507104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42507109) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91577 + ... + 92039.
It is an arithmetic number, because the mean of its divisors is an integer number (1851360).
Almost surely, 242507104 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 42507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44432640).
42507104 is an abundant number, since it is smaller than the sum of its proper divisors (46358176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42507104 is a wasteful number, since it uses less digits than its factorization.
42507104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 643 (or 635 counting only the distinct ones).
The product of its (nonzero) digits is 1120, while the sum is 23.
The square root of 42507104 is about 6519.7472343642. The cubic root of 42507104 is about 348.9960454173.
Adding to 42507104 its reverse (40170524), we get a palindrome (82677628).
The spelling of 42507104 in words is "forty-two million, five hundred seven thousand, one hundred four".
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