Base | Representation |
---|---|
bin | 1100110100100… |
… | …1111000100000 |
3 | 10202012022021212 |
4 | 3031021320200 |
5 | 102231430000 |
6 | 5200405252 |
7 | 1222060001 |
oct | 315117040 |
9 | 122168255 |
10 | 53780000 |
11 | 283a278a |
12 | 16016828 |
13 | b1acab1 |
14 | 71dd1a8 |
15 | 4ac4c35 |
hex | 3349e20 |
53780000 has 60 divisors (see below), whose sum is σ = 132356070. Its totient is φ = 21504000.
The previous prime is 53779997. The next prime is 53780033. The reversal of 53780000 is 8735.
It can be written as a sum of positive squares in 5 ways, for example, as 1882384 + 51897616 = 1372^2 + 7204^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18656 + ... + 21344.
Almost surely, 253780000 is an apocalyptic number.
53780000 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 53780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66178035).
53780000 is an abundant number, since it is smaller than the sum of its proper divisors (78576070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53780000 is an equidigital number, since it uses as much as digits as its factorization.
53780000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2719 (or 2696 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 23.
The square root of 53780000 is about 7333.4848469196. The cubic root of 53780000 is about 377.4623151423.
Adding to 53780000 its reverse (8735), we get a palindrome (53788735).
The spelling of 53780000 in words is "fifty-three million, seven hundred eighty thousand".
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