Base | Representation |
---|---|
bin | 1000101100110… |
… | …1111000110100 |
3 | 2112200010120222 |
4 | 2023031320310 |
5 | 33320314100 |
6 | 3342113512 |
7 | 622126061 |
oct | 213157064 |
9 | 75603528 |
10 | 36494900 |
11 | 19667182 |
12 | 1027b898 |
13 | 773a320 |
14 | 4bbdc68 |
15 | 330d485 |
hex | 22cde34 |
36494900 has 72 divisors (see below), whose sum is σ = 86765280. Its totient is φ = 13242240.
The previous prime is 36494893. The next prime is 36494911. The reversal of 36494900 is 949463.
36494900 = T209 + T210 + ... + T610.
It is a happy number.
36494900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 86891 + ... + 87309.
Almost surely, 236494900 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 36494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43382640).
36494900 is an abundant number, since it is smaller than the sum of its proper divisors (50270380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36494900 is a wasteful number, since it uses less digits than its factorization.
36494900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 513 (or 506 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 35.
The square root of 36494900 is about 6041.1008930492. The cubic root of 36494900 is about 331.6989214133.
The spelling of 36494900 in words is "thirty-six million, four hundred ninety-four thousand, nine hundred".
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