Base | Representation |
---|---|
bin | 1010000001101… |
… | …0000000000000 |
3 | 2221010100010020 |
4 | 2200122000000 |
5 | 41231041121 |
6 | 4101133440 |
7 | 1020262254 |
oct | 240320000 |
9 | 87110106 |
10 | 42049536 |
11 | 21810491 |
12 | 120ba280 |
13 | 89336a9 |
14 | 5828264 |
15 | 3a591c6 |
hex | 281a000 |
42049536 has 112 divisors (see below), whose sum is σ = 117957600. Its totient is φ = 13303808.
The previous prime is 42049529. The next prime is 42049541. The reversal of 42049536 is 63594024.
It is a junction number, because it is equal to n+sod(n) for n = 42049497 and 42049506.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712675 + ... + 712733.
Almost surely, 242049536 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 42049536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58978800).
42049536 is an abundant number, since it is smaller than the sum of its proper divisors (75908064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42049536 is an equidigital number, since it uses as much as digits as its factorization.
42049536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 33.
The square root of 42049536 is about 6484.5613575631. The cubic root of 42049536 is about 347.7392683026.
The spelling of 42049536 in words is "forty-two million, forty-nine thousand, five hundred thirty-six".
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