Base | Representation |
---|---|
bin | 100111001100010111… |
… | …001100011011010000 |
3 | 11000121212020001212210 |
4 | 213030113030123100 |
5 | 1142141313303221 |
6 | 31155515552120 |
7 | 3016602320223 |
oct | 471427143320 |
9 | 130555201783 |
10 | 42083337936 |
11 | 16935a46732 |
12 | 81a575b640 |
13 | 3c788883c3 |
14 | 207315b5ba |
15 | 116485c276 |
hex | 9cc5cc6d0 |
42083337936 has 80 divisors (see below), whose sum is σ = 112568420160. Its totient is φ = 13531499520.
The previous prime is 42083337931. The next prime is 42083337941. The reversal of 42083337936 is 63973338024.
It is an interprime number because it is at equal distance from previous prime (42083337931) and next prime (42083337941).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42083337931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549756 + ... + 1576676.
It is an arithmetic number, because the mean of its divisors is an integer number (1407105252).
Almost surely, 242083337936 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 42083337936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56284210080).
42083337936 is an abundant number, since it is smaller than the sum of its proper divisors (70485082224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42083337936 is a wasteful number, since it uses less digits than its factorization.
42083337936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28084 (or 28078 counting only the distinct ones).
The product of its (nonzero) digits is 1959552, while the sum is 48.
The spelling of 42083337936 in words is "forty-two billion, eighty-three million, three hundred thirty-seven thousand, nine hundred thirty-six".
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