Base | Representation |
---|---|
bin | 1000100001101… |
… | …1011101000100 |
3 | 2111022000000221 |
4 | 2020123131010 |
5 | 33123422121 |
6 | 3314314124 |
7 | 612663220 |
oct | 210333504 |
9 | 74260027 |
10 | 35764036 |
11 | 19208060 |
12 | bb88944 |
13 | 7542769 |
14 | 4a6d780 |
15 | 3216b41 |
hex | 221b744 |
35764036 has 48 divisors (see below), whose sum is σ = 79027200. Its totient is φ = 13756320.
The previous prime is 35764033. The next prime is 35764063. The reversal of 35764036 is 63046753.
It is a junction number, because it is equal to n+sod(n) for n = 35763992 and 35764010.
It is not an unprimeable number, because it can be changed into a prime (35764031) 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 15 ways as a sum of consecutive naturals, for example, 24865 + ... + 26263.
It is an arithmetic number, because the mean of its divisors is an integer number (1646400).
Almost surely, 235764036 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 35764036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).
35764036 is an abundant number, since it is smaller than the sum of its proper divisors (43263164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35764036 is a wasteful number, since it uses less digits than its factorization.
35764036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1504 (or 1502 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 34.
The square root of 35764036 is about 5980.3040056505. The cubic root of 35764036 is about 329.4697207376.
The spelling of 35764036 in words is "thirty-five million, seven hundred sixty-four thousand, thirty-six".
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