Base | Representation |
---|---|
bin | 1010000100100… |
… | …1110101000000 |
3 | 2221111021211221 |
4 | 2201021311000 |
5 | 41303323230 |
6 | 4105244424 |
7 | 1022036356 |
oct | 241116500 |
9 | 87437757 |
10 | 42245440 |
11 | 21934696 |
12 | 12193714 |
13 | 89a1903 |
14 | 58797d6 |
15 | 3a9727a |
hex | 2849d40 |
42245440 has 56 divisors (see below), whose sum is σ = 101708712. Its totient is φ = 16711680.
The previous prime is 42245383. The next prime is 42245447. The reversal of 42245440 is 4454224.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 41679936 = 752^2 + 6456^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42245447) 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, 30360 + ... + 31720.
It is an arithmetic number, because the mean of its divisors is an integer number (1816227).
Almost surely, 242245440 is an apocalyptic number.
42245440 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 42245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50854356).
42245440 is an abundant number, since it is smaller than the sum of its proper divisors (59463272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42245440 is a wasteful number, since it uses less digits than its factorization.
42245440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 25.
The square root of 42245440 is about 6499.6492213042. The cubic root of 42245440 is about 348.2784577113.
Adding to 42245440 its reverse (4454224), we get a palindrome (46699664).
The spelling of 42245440 in words is "forty-two million, two hundred forty-five thousand, four hundred forty".
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