| Base | Representation |
|---|---|
| bin | 1010001101101… |
| … | …1111110000000 |
| 3 | 2222121200222000 |
| 4 | 2203123332000 |
| 5 | 41432002112 |
| 6 | 4130144000 |
| 7 | 1030111500 |
| oct | 243337600 |
| 9 | 88550860 |
| 10 | 42844032 |
| 11 | 222033a0 |
| 12 | 12422000 |
| 13 | 8b511ca |
| 14 | 5993a00 |
| 15 | 3b647dc |
| hex | 28dbf80 |
42844032 has 384 divisors, whose sum is σ = 167443200. Its totient is φ = 10644480.
The previous prime is 42844013. The next prime is 42844079. The reversal of 42844032 is 23044824.
It is a happy number.
42844032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×428440322 = 3671222156034048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 42843987 and 42844005.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862773 + ... + 1862795.
It is an arithmetic number, because the mean of its divisors is an integer number (436050).
Almost surely, 242844032 is an apocalyptic number.
42844032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).
42844032 is an abundant number, since it is smaller than the sum of its proper divisors (124599168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42844032 is a wasteful number, since it uses less digits than its factorization.
42844032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 42844032 is about 6545.5352722295. The cubic root of 42844032 is about 349.9157130370.
Adding to 42844032 its reverse (23044824), we get a palindrome (65888856).
The spelling of 42844032 in words is "forty-two million, eight hundred forty-four thousand, thirty-two".
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