Base | Representation |
---|---|
bin | 1000100110000… |
… | …0000001100100 |
3 | 2111211021022022 |
4 | 2021200001210 |
5 | 33211414100 |
6 | 3324322312 |
7 | 615243113 |
oct | 211400144 |
9 | 74737268 |
10 | 36044900 |
11 | 1938a081 |
12 | 100a3398 |
13 | 7610558 |
14 | 4b03c7a |
15 | 326ee85 |
hex | 2260064 |
36044900 has 72 divisors (see below), whose sum is σ = 83952960. Its totient is φ = 13392000.
The previous prime is 36044849. The next prime is 36044903. The reversal of 36044900 is 944063.
It is a self number, because there is not a number n which added to its sum of digits gives 36044900.
It is not an unprimeable number, because it can be changed into a prime (36044903) 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 23 ways as a sum of consecutive naturals, for example, 115745 + ... + 116055.
Almost surely, 236044900 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 36044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976480).
36044900 is an abundant number, since it is smaller than the sum of its proper divisors (47908060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36044900 is a wasteful number, since it uses less digits than its factorization.
36044900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 405 (or 398 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 26.
The square root of 36044900 is about 6003.7405007212. The cubic root of 36044900 is about 330.3299424264.
Adding to 36044900 its reverse (944063), we get a palindrome (36988963).
The spelling of 36044900 in words is "thirty-six million, forty-four thousand, nine hundred".
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