Base | Representation |
---|---|
bin | 1000100101010… |
… | …1000100101010 |
3 | 2111201222202220 |
4 | 2021111010222 |
5 | 33204000132 |
6 | 3323334510 |
7 | 614665251 |
oct | 211250452 |
9 | 74658686 |
10 | 36000042 |
11 | 19359401 |
12 | 10081436 |
13 | 75c6000 |
14 | 4ad1798 |
15 | 3261a2c |
hex | 225512a |
36000042 has 32 divisors (see below), whose sum is σ = 78025920. Its totient is φ = 11072880.
The previous prime is 36000007. The next prime is 36000059. The reversal of 36000042 is 24000063.
36000042 is a modest number, since divided by 42 gives 36 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 35999985 and 36000030.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11817 + ... + 14547.
It is an arithmetic number, because the mean of its divisors is an integer number (2438310).
Almost surely, 236000042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012960).
36000042 is an abundant number, since it is smaller than the sum of its proper divisors (42025878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36000042 is a wasteful number, since it uses less digits than its factorization.
36000042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2775 (or 2749 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 36000042 is about 6000.0034999990. The cubic root of 36000042 is about 330.1928532977.
The spelling of 36000042 in words is "thirty-six million, forty-two", and thus it is an aban number, an eban number, and an uban number.
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