Base | Representation |
---|---|
bin | 1101101101001… |
… | …0011011001000 |
3 | 11000011112121002 |
4 | 3123102123020 |
5 | 104204010000 |
6 | 5412034132 |
7 | 1265420516 |
oct | 333223310 |
9 | 130145532 |
10 | 57485000 |
11 | 2a4a3371 |
12 | 17302948 |
13 | bba92c1 |
14 | 78c54b6 |
15 | 50a78d5 |
hex | 36d26c8 |
57485000 has 40 divisors (see below), whose sum is σ = 134699070. Its totient is φ = 22992000.
The previous prime is 57484967. The next prime is 57485003. The reversal of 57485000 is 58475.
57485000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 1444804 + 56040196 = 1202^2 + 7486^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (57485003) 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 9 ways as a sum of consecutive naturals, for example, 749 + ... + 10748.
Almost surely, 257485000 is an apocalyptic number.
57485000 is a gapful number since it is divisible by the number (50) 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 57485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67349535).
57485000 is an abundant number, since it is smaller than the sum of its proper divisors (77214070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57485000 is a wasteful number, since it uses less digits than its factorization.
57485000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11523 (or 11504 counting only the distinct ones).
The product of its (nonzero) digits is 5600, while the sum is 29.
The square root of 57485000 is about 7581.8863088284. The cubic root of 57485000 is about 385.9385657551.
The spelling of 57485000 in words is "fifty-seven million, four hundred eighty-five thousand".
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