Base | Representation |
---|---|
bin | 1100011001100… |
… | …0111010001000 |
3 | 10121212012120000 |
4 | 3012120322020 |
5 | 101303202121 |
6 | 5054403000 |
7 | 1201022361 |
oct | 306307210 |
9 | 117765500 |
10 | 52006536 |
11 | 273a130a |
12 | 15500460 |
13 | aa0b7ca |
14 | 6c9ab68 |
15 | 4874526 |
hex | 3198e88 |
52006536 has 80 divisors (see below), whose sum is σ = 154267740. Its totient is φ = 16312320.
The previous prime is 52006531. The next prime is 52006547. The reversal of 52006536 is 63560025.
52006536 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 653 + 6 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 50552100 + 1454436 = 7110^2 + 1206^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (52006531) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8656 + ... + 13376.
Almost surely, 252006536 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 52006536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77133870).
52006536 is an abundant number, since it is smaller than the sum of its proper divisors (102261204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
52006536 is a wasteful number, since it uses less digits than its factorization.
52006536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4756 (or 4743 counting only the distinct ones).
The product of its (nonzero) digits is 5400, while the sum is 27.
The square root of 52006536 is about 7211.5557267486. Note that the first 3 decimals coincide. The cubic root of 52006536 is about 373.2667532913.
The spelling of 52006536 in words is "fifty-two million, six thousand, five hundred thirty-six".
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