Base | Representation |
---|---|
bin | 1000100111101… |
… | …1110000001000 |
3 | 2112001001002200 |
4 | 2021323300020 |
5 | 33224032342 |
6 | 3331000200 |
7 | 616225200 |
oct | 211736010 |
9 | 75031080 |
10 | 36158472 |
11 | 19457439 |
12 | 10139060 |
13 | 765015c |
14 | 4b33400 |
15 | 329394c |
hex | 227bc08 |
36158472 has 144 divisors (see below), whose sum is σ = 117418860. Its totient is φ = 10015488.
The previous prime is 36158471. The next prime is 36158477. The reversal of 36158472 is 27485163.
36158472 is a `hidden beast` number, since 3 + 6 + 1 + 584 + 72 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 36072036 + 86436 = 6006^2 + 294^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (36158471) 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 35 ways as a sum of consecutive naturals, for example, 130398 + ... + 130674.
Almost surely, 236158472 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 36158472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58709430).
36158472 is an abundant number, since it is smaller than the sum of its proper divisors (81260388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36158472 is a wasteful number, since it uses less digits than its factorization.
36158472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340 (or 326 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 36158472 is about 6013.1914986968. The cubic root of 36158472 is about 330.6765184875.
The spelling of 36158472 in words is "thirty-six million, one hundred fifty-eight thousand, four hundred seventy-two".
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