Base | Representation |
---|---|
bin | 100000001101… |
… | …000010010000 |
3 | 120212220020200 |
4 | 200031002100 |
5 | 4130121000 |
6 | 500535200 |
7 | 131520150 |
oct | 40150220 |
9 | 16786220 |
10 | 8442000 |
11 | 4846666 |
12 | 29b1500 |
13 | 1997688 |
14 | 119a760 |
15 | b1b500 |
hex | 80d090 |
8442000 has 240 divisors, whose sum is σ = 34200192. Its totient is φ = 1900800.
The previous prime is 8441969. The next prime is 8442011. The reversal of 8442000 is 2448.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125967 + ... + 126033.
Almost surely, 28442000 is an apocalyptic number.
8442000 is a gapful number since it is divisible by the number (80) 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 8442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100096).
8442000 is an abundant number, since it is smaller than the sum of its proper divisors (25758192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8442000 is a wasteful number, since it uses less digits than its factorization.
8442000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 84 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 8442000 is about 2905.5120030728. The cubic root of 8442000 is about 203.6175070472.
Adding to 8442000 its reverse (2448), we get a palindrome (8444448).
The spelling of 8442000 in words is "eight million, four hundred forty-two thousand".
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