| Base | Representation |
|---|---|
| bin | 1010000011101… |
| … | …0110100000000 |
| 3 | 2221101011111000 |
| 4 | 2200322310000 |
| 5 | 41244341221 |
| 6 | 4104052000 |
| 7 | 1021362144 |
| oct | 240726400 |
| 9 | 87334430 |
| 10 | 42183936 |
| 11 | 218a2463 |
| 12 | 12164000 |
| 13 | 897c912 |
| 14 | 5861224 |
| 15 | 3a83e26 |
| hex | 283ad00 |
42183936 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 13197312.
The previous prime is 42183931. The next prime is 42183941. The reversal of 42183936 is 63938124.
It is an interprime number because it is at equal distance from previous prime (42183931) and next prime (42183941).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 42183936.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42183931) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117325 + ... + 117683.
It is an arithmetic number, because the mean of its divisors is an integer number (919800).
Almost surely, 242183936 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 42183936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).
42183936 is an abundant number, since it is smaller than the sum of its proper divisors (90267264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42183936 is a wasteful number, since it uses less digits than its factorization.
42183936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 401 (or 381 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 42183936 is about 6494.9161657407. The cubic root of 42183936 is about 348.1093592093.
It can be divided in two parts, 421839 and 36, that added together give a cube (421875 = 753).
The spelling of 42183936 in words is "forty-two million, one hundred eighty-three thousand, nine hundred thirty-six".
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