Base | Representation |
---|---|
bin | 1010000111110… |
… | …0010001100000 |
3 | 2221212210021200 |
4 | 2201330101200 |
5 | 41331431224 |
6 | 4113521200 |
7 | 1023556644 |
oct | 241742140 |
9 | 87783250 |
10 | 42452064 |
11 | 21a65956 |
12 | 12273200 |
13 | 8a44985 |
14 | 58d0c24 |
15 | 3ad85c9 |
hex | 287c460 |
42452064 has 72 divisors (see below), whose sum is σ = 121447872. Its totient is φ = 14065920.
The previous prime is 42452063. The next prime is 42452083. The reversal of 42452064 is 46025424.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42452063) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63894 + ... + 64554.
It is an arithmetic number, because the mean of its divisors is an integer number (1686776).
Almost surely, 242452064 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 42452064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60723936).
42452064 is an abundant number, since it is smaller than the sum of its proper divisors (78995808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42452064 is a wasteful number, since it uses less digits than its factorization.
42452064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 900 (or 889 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 42452064 is about 6515.5248445540. The cubic root of 42452064 is about 348.8453487316.
Adding to 42452064 its reverse (46025424), we get a palindrome (88477488).
The spelling of 42452064 in words is "forty-two million, four hundred fifty-two thousand, sixty-four".
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