Base | Representation |
---|---|
bin | 1100101000110… |
… | …0111010110100 |
3 | 10200201222120100 |
4 | 3022030322310 |
5 | 102032143004 |
6 | 5132034100 |
7 | 1212354312 |
oct | 312147264 |
9 | 120658510 |
10 | 53006004 |
11 | 27a14217 |
12 | 15902930 |
13 | ac9b6cc |
14 | 707b0b2 |
15 | 49c0739 |
hex | 328ceb4 |
53006004 has 18 divisors (see below), whose sum is σ = 133987490. Its totient is φ = 17668656.
The previous prime is 53006003. The next prime is 53006021. The reversal of 53006004 is 40060035.
It is a happy number.
53006004 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 only one way, i.e., 50381604 + 2624400 = 7098^2 + 1620^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (53006003) 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, 736159 + ... + 736230.
Almost surely, 253006004 is an apocalyptic number.
It is an amenable number.
53006004 is an abundant number, since it is smaller than the sum of its proper divisors (80981486).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53006004 is a wasteful number, since it uses less digits than its factorization.
53006004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1472399 (or 1472394 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 53006004 is about 7280.5222340159. The cubic root of 53006004 is about 375.6427589995.
Adding to 53006004 its reverse (40060035), we get a palindrome (93066039).
The spelling of 53006004 in words is "fifty-three million, six thousand, four".
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