Base | Representation |
---|---|
bin | 1000101011000… |
… | …0100000001000 |
3 | 2112110000111001 |
4 | 2022300200020 |
5 | 33302441121 |
6 | 3335344344 |
7 | 621115132 |
oct | 212604010 |
9 | 75400431 |
10 | 36374536 |
11 | 19594800 |
12 | 102220b4 |
13 | 76c75c3 |
14 | 4b8c052 |
15 | 32d7991 |
hex | 22b0808 |
36374536 has 48 divisors (see below), whose sum is σ = 76488300. Its totient is φ = 16199040.
The previous prime is 36374521. The next prime is 36374539. The reversal of 36374536 is 63547363.
It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 302500 = 6006^2 + 550^2 .
It is a junction number, because it is equal to n+sod(n) for n = 36374495 and 36374504.
It is not an unprimeable number, because it can be changed into a prime (36374539) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50950 + ... + 51658.
Almost surely, 236374536 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 36374536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38244150).
36374536 is an abundant number, since it is smaller than the sum of its proper divisors (40113764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36374536 is a wasteful number, since it uses less digits than its factorization.
36374536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 790 (or 775 counting only the distinct ones).
The product of its digits is 136080, while the sum is 37.
The square root of 36374536 is about 6031.1305739471. The cubic root of 36374536 is about 331.3338605288. Note that the first 3 decimals are identical.
The spelling of 36374536 in words is "thirty-six million, three hundred seventy-four thousand, five hundred thirty-six".
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