Base | Representation |
---|---|
bin | 1100011011000… |
… | …0101101110100 |
3 | 10122001011022201 |
4 | 3012300231310 |
5 | 101314312202 |
6 | 5100434244 |
7 | 1201606600 |
oct | 306605564 |
9 | 118034281 |
10 | 52104052 |
11 | 27458600 |
12 | 15548984 |
13 | aa44000 |
14 | 6cc4500 |
15 | 4893387 |
hex | 31b0b74 |
52104052 has 108 divisors (see below), whose sum is σ = 126299460. Its totient is φ = 18738720.
The previous prime is 52104049. The next prime is 52104053. The reversal of 52104052 is 25040125.
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.
52104052 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 2 ways, for example, as 1920996 + 50183056 = 1386^2 + 7084^2 .
It is a nialpdrome in base 13.
It is a zygodrome in base 13.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (52104053) 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 35 ways as a sum of consecutive naturals, for example, 4007998 + ... + 4008010.
Almost surely, 252104052 is an apocalyptic number.
52104052 is a gapful number since it is divisible by the number (52) 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 52104052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63149730).
52104052 is an abundant number, since it is smaller than the sum of its proper divisors (74195408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52104052 is a wasteful number, since it uses less digits than its factorization.
52104052 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 19.
The square root of 52104052 is about 7218.3136534789. The cubic root of 52104052 is about 373.4999083049.
Adding to 52104052 its reverse (25040125), we get a palindrome (77144177).
The spelling of 52104052 in words is "fifty-two million, one hundred four thousand, fifty-two".
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