Base | Representation |
---|---|
bin | 1000110001111… |
… | …0101010011100 |
3 | 2120021221102220 |
4 | 2030132222130 |
5 | 33411411011 |
6 | 3353145340 |
7 | 625004502 |
oct | 214365234 |
9 | 76257386 |
10 | 36825756 |
11 | 19872810 |
12 | 103bb250 |
13 | 7824ab6 |
14 | 4c68672 |
15 | 3376506 |
hex | 231ea9c |
36825756 has 48 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 11101120.
The previous prime is 36825739. The next prime is 36825773. The reversal of 36825756 is 65752863.
36825756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (36825739) and next prime (36825773).
It is a super-2 number, since 2×368257562 = 2712272609943072, which contains 22 as substring.
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 15 ways as a sum of consecutive naturals, for example, 29350 + ... + 30578.
It is an arithmetic number, because the mean of its divisors is an integer number (1963080).
Almost surely, 236825756 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 36825756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).
36825756 is an abundant number, since it is smaller than the sum of its proper divisors (57402084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36825756 is a wasteful number, since it uses less digits than its factorization.
36825756 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1474 (or 1472 counting only the distinct ones).
The product of its digits is 302400, while the sum is 42.
The square root of 36825756 is about 6068.4228593598. The cubic root of 36825756 is about 332.6982811166.
The spelling of 36825756 in words is "thirty-six million, eight hundred twenty-five thousand, seven hundred fifty-six".
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