Base | Representation |
---|---|
bin | 1100011001100… |
… | …0000110000000 |
3 | 10121212000222110 |
4 | 3012120012000 |
5 | 101303100300 |
6 | 5054335320 |
7 | 1201006554 |
oct | 306300600 |
9 | 117760873 |
10 | 52003200 |
11 | 27399857 |
12 | 154ba540 |
13 | aa0a132 |
14 | 6c99864 |
15 | 4873550 |
hex | 3198180 |
52003200 has 96 divisors (see below), whose sum is σ = 171317160. Its totient is φ = 13864960.
The previous prime is 52003181. The next prime is 52003219. The reversal of 52003200 is 230025.
It is an interprime number because it is at equal distance from previous prime (52003181) and next prime (52003219).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6892 + ... + 12308.
Almost surely, 252003200 is an apocalyptic number.
52003200 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 52003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658580).
52003200 is an abundant number, since it is smaller than the sum of its proper divisors (119313960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52003200 is a wasteful number, since it uses less digits than its factorization.
52003200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5444 (or 5427 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 12.
The square root of 52003200 is about 7211.3244275930. The cubic root of 52003200 is about 373.2587719578.
Adding to 52003200 its reverse (230025), we get a palindrome (52233225).
The spelling of 52003200 in words is "fifty-two million, three thousand, two hundred".
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