Base | Representation |
---|---|
bin | 11100011000111001010000 |
3 | 112000002111122 |
4 | 130120321100 |
5 | 3401121000 |
6 | 423301412 |
7 | 120153536 |
oct | 34307120 |
9 | 15002448 |
10 | 7442000 |
11 | 4223315 |
12 | 25aa868 |
13 | 1707467 |
14 | dba156 |
15 | 9c0085 |
hex | 718e50 |
7442000 has 60 divisors (see below), whose sum is σ = 18294588. Its totient is φ = 2928000.
The previous prime is 7441999. The next prime is 7442023. The reversal of 7442000 is 2447.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 6512704 + 929296 = 2552^2 + 964^2 .
It is an Ulam number.
It is a nialpdrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 7442000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121970 + ... + 122030.
Almost surely, 27442000 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 7442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147294).
7442000 is an abundant number, since it is smaller than the sum of its proper divisors (10852588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7442000 is an equidigital number, since it uses as much as digits as its factorization.
7442000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145 (or 68 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 17.
The square root of 7442000 is about 2728.0029325497. The cubic root of 7442000 is about 195.2374927982.
Adding to 7442000 its reverse (2447), we get a palindrome (7444447).
It can be divided in two parts, 744 and 2000, that added together give a cube (2744 = 143).
The spelling of 7442000 in words is "seven million, four hundred forty-two thousand".
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