Base | Representation |
---|---|
bin | 1010000100010… |
… | …1001100100000 |
3 | 2221110022211010 |
4 | 2201011030200 |
5 | 41302221324 |
6 | 4105020520 |
7 | 1021630140 |
oct | 241051440 |
9 | 87408733 |
10 | 42226464 |
11 | 21921405 |
12 | 12184740 |
13 | 8996097 |
14 | 5872920 |
15 | 3a91829 |
hex | 2845320 |
42226464 has 96 divisors (see below), whose sum is σ = 130830336. Its totient is φ = 11669760.
The previous prime is 42226463. The next prime is 42226489. The reversal of 42226464 is 46462224.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (42226463) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19819 + ... + 21845.
It is an arithmetic number, because the mean of its divisors is an integer number (1362816).
Almost surely, 242226464 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 42226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65415168).
42226464 is an abundant number, since it is smaller than the sum of its proper divisors (88603872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42226464 is a wasteful number, since it uses less digits than its factorization.
42226464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).
The product of its digits is 18432, while the sum is 30.
The square root of 42226464 is about 6498.1892862551. The cubic root of 42226464 is about 348.2263027978.
Adding to 42226464 its reverse (46462224), we get a palindrome (88688688).
The spelling of 42226464 in words is "forty-two million, two hundred twenty-six thousand, four hundred sixty-four".
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