Base | Representation |
---|---|
bin | 1011001101110… |
… | …1100110001000 |
3 | 10021112010121102 |
4 | 2303131212020 |
5 | 44020420000 |
6 | 4400200532 |
7 | 1110606302 |
oct | 263354610 |
9 | 107463542 |
10 | 47045000 |
11 | 24612672 |
12 | 13909148 |
13 | 99923a2 |
14 | 6368972 |
15 | 41e43d5 |
hex | 2cdd988 |
47045000 has 60 divisors (see below), whose sum is σ = 111374505. Its totient is φ = 18624000.
The previous prime is 47044997. The next prime is 47045003. The reversal of 47045000 is 54074.
47045000 = T31 + T32 + ... + T655.
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.
47045000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (47044997) and next prime (47045003).
It can be written as a sum of positive squares in 8 ways, for example, as 5080516 + 41964484 = 2254^2 + 6478^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4850.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (47045003) by changing a digit.
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 14 ways as a sum of consecutive naturals, for example, 484952 + ... + 485048.
Almost surely, 247045000 is an apocalyptic number.
47045000 is a gapful number since it is divisible by the number (40) 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 47045000
47045000 is an abundant number, since it is smaller than the sum of its proper divisors (64329505).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47045000 is an frugal number, since it uses more digits than its factorization.
47045000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 560, while the sum is 20.
The square root of 47045000 is about 6858.9357775095. The cubic root of 47045000 is about 360.9977465758.
Adding to 47045000 its reverse (54074), we get a palindrome (47099074).
The spelling of 47045000 in words is "forty-seven million, forty-five thousand".
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