Base | Representation |
---|---|
bin | 110000101010011111… |
… | …101000100111010000 |
3 | 11222212120101020022200 |
4 | 300222133220213100 |
5 | 1324003122342230 |
6 | 40000545203200 |
7 | 3526603201536 |
oct | 605237504720 |
9 | 158776336280 |
10 | 52252543440 |
11 | 201842202a9 |
12 | a163330500 |
13 | 4c0963a376 |
14 | 2759968156 |
15 | 155c4e0160 |
hex | c2a7e89d0 |
52252543440 has 120 divisors (see below), whose sum is σ = 175574162088. Its totient is φ = 13926650880.
The previous prime is 52252543433. The next prime is 52252543451. The reversal of 52252543440 is 4434525225.
52252543440 is a `hidden beast` number, since 5 + 22 + 52 + 543 + 4 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1281353616 + 50971189824 = 35796^2 + 225768^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 52252543395 and 52252543404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419670 + ... + 1456010.
Almost surely, 252252543440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 52252543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87787081044).
52252543440 is an abundant number, since it is smaller than the sum of its proper divisors (123321618648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52252543440 is a wasteful number, since it uses less digits than its factorization.
52252543440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38357 (or 38348 counting only the distinct ones).
The product of its (nonzero) digits is 192000, while the sum is 36.
The spelling of 52252543440 in words is "fifty-two billion, two hundred fifty-two million, five hundred forty-three thousand, four hundred forty".
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