Base | Representation |
---|---|
bin | 1100110011001… |
… | …1001001110100 |
3 | 10202000120120201 |
4 | 3030303021310 |
5 | 102220440100 |
6 | 5154410244 |
7 | 1221221401 |
oct | 314631164 |
9 | 122016521 |
10 | 53686900 |
11 | 28339843 |
12 | 15b90984 |
13 | b1795c7 |
14 | 71b72a8 |
15 | 4aa736a |
hex | 3333274 |
53686900 has 18 divisors (see below), whose sum is σ = 116500790. Its totient is φ = 21474720.
The previous prime is 53686849. The next prime is 53686907. The reversal of 53686900 is 968635.
53686900 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 3 ways, for example, as 15023376 + 38663524 = 3876^2 + 6218^2 .
It is a super-2 number, since 2×536869002 = 5764566463220000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 53686900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53686907) 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 5 ways as a sum of consecutive naturals, for example, 268335 + ... + 268534.
Almost surely, 253686900 is an apocalyptic number.
53686900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
53686900 is an abundant number, since it is smaller than the sum of its proper divisors (62813890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53686900 is a wasteful number, since it uses less digits than its factorization.
53686900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 536883 (or 536876 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 37.
The square root of 53686900 is about 7327.1345012904. The cubic root of 53686900 is about 377.2443776232.
The spelling of 53686900 in words is "fifty-three million, six hundred eighty-six thousand, nine hundred".
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