Base | Representation |
---|---|
bin | 1010000100010… |
… | …1000011011000 |
3 | 2221110022000111 |
4 | 2201011003120 |
5 | 41302212010 |
6 | 4105014104 |
7 | 1021625344 |
oct | 241050330 |
9 | 87408014 |
10 | 42225880 |
11 | 21920a24 |
12 | 12184334 |
13 | 8995a38 |
14 | 5872624 |
15 | 3a9158a |
hex | 28450d8 |
42225880 has 64 divisors (see below), whose sum is σ = 98879040. Its totient is φ = 16215552.
The previous prime is 42225853. The next prime is 42225893. The reversal of 42225880 is 8852224.
It is a zygodrome in base 3.
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, 152302 + ... + 152578.
It is an arithmetic number, because the mean of its divisors is an integer number (1544985).
Almost surely, 242225880 is an apocalyptic number.
42225880 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 42225880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439520).
42225880 is an abundant number, since it is smaller than the sum of its proper divisors (56653160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42225880 is a wasteful number, since it uses less digits than its factorization.
42225880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 428 (or 424 counting only the distinct ones).
The product of its (nonzero) digits is 10240, while the sum is 31.
The square root of 42225880 is about 6498.1443505050. The cubic root of 42225880 is about 348.2246974452.
The spelling of 42225880 in words is "forty-two million, two hundred twenty-five thousand, eight hundred eighty".
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