Base | Representation |
---|---|
bin | 1010000100010… |
… | …1111010000000 |
3 | 2221110110210222 |
4 | 2201011322000 |
5 | 41302320001 |
6 | 4105042212 |
7 | 1021641500 |
oct | 241057200 |
9 | 87413728 |
10 | 42229376 |
11 | 21923612 |
12 | 12186368 |
13 | 89974c7 |
14 | 5873a00 |
15 | 3a9261b |
hex | 2845e80 |
42229376 has 48 divisors (see below), whose sum is σ = 97878690. Its totient is φ = 18095616.
The previous prime is 42229373. The next prime is 42229391. The reversal of 42229376 is 67392224.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 22657600 + 19571776 = 4760^2 + 4424^2 .
It is not an unprimeable number, because it can be changed into a prime (42229373) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2906 + ... + 9638.
Almost surely, 242229376 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 42229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48939345).
42229376 is an abundant number, since it is smaller than the sum of its proper divisors (55649314).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42229376 is an equidigital number, since it uses as much as digits as its factorization.
42229376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6761 (or 6742 counting only the distinct ones).
The product of its digits is 36288, while the sum is 35.
The square root of 42229376 is about 6498.4133448096. The cubic root of 42229376 is about 348.2343073491.
The spelling of 42229376 in words is "forty-two million, two hundred twenty-nine thousand, three hundred seventy-six".
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