Base | Representation |
---|---|
bin | 1010001000100… |
… | …1010001101000 |
3 | 2221222111100010 |
4 | 2202021101220 |
5 | 41340132240 |
6 | 4115011520 |
7 | 1024201134 |
oct | 242112150 |
9 | 87874303 |
10 | 42505320 |
11 | 21aa1970 |
12 | 12299ba0 |
13 | 8a62ca0 |
14 | 59063c4 |
15 | 3ae9280 |
hex | 2889468 |
42505320 has 128 divisors (see below), whose sum is σ = 149869440. Its totient is φ = 9507840.
The previous prime is 42505277. The next prime is 42505327. The reversal of 42505320 is 2350524.
It is not an unprimeable number, because it can be changed into a prime (42505327) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15922 + ... + 18398.
It is an arithmetic number, because the mean of its divisors is an integer number (1170855).
Almost surely, 242505320 is an apocalyptic number.
42505320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934720).
42505320 is an abundant number, since it is smaller than the sum of its proper divisors (107364120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42505320 is a wasteful number, since it uses less digits than its factorization.
42505320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).
The product of its (nonzero) digits is 1200, while the sum is 21.
The square root of 42505320 is about 6519.6104178087. The cubic root of 42505320 is about 348.9911629577.
Adding to 42505320 its reverse (2350524), we get a palindrome (44855844).
The spelling of 42505320 in words is "forty-two million, five hundred five thousand, three hundred twenty".
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