Base | Representation |
---|---|
bin | 1000101001101… |
… | …1001101111000 |
3 | 2112021120220000 |
4 | 2022123031320 |
5 | 33242143402 |
6 | 3333433000 |
7 | 620303013 |
oct | 212331570 |
9 | 75246800 |
10 | 36287352 |
11 | 19535252 |
12 | 1019b760 |
13 | 7696a0a |
14 | 4b6837a |
15 | 32bbc1c |
hex | 229b378 |
36287352 has 80 divisors (see below), whose sum is σ = 105197400. Its totient is φ = 11672640.
The previous prime is 36287291. The next prime is 36287357. The reversal of 36287352 is 25378263.
36287352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36287357) 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 19 ways as a sum of consecutive naturals, for example, 17827 + ... + 19757.
Almost surely, 236287352 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 36287352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52598700).
36287352 is an abundant number, since it is smaller than the sum of its proper divisors (68910048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36287352 is a wasteful number, since it uses less digits than its factorization.
36287352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1978 (or 1965 counting only the distinct ones).
The product of its digits is 60480, while the sum is 36.
The square root of 36287352 is about 6023.8984055178. The cubic root of 36287352 is about 331.0689304939.
The spelling of 36287352 in words is "thirty-six million, two hundred eighty-seven thousand, three hundred fifty-two".
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