| Base | Representation |
|---|---|
| bin | 1000101100101… |
| … | …0101000000000 |
| 3 | 2112122110021000 |
| 4 | 2023022220000 |
| 5 | 33314402121 |
| 6 | 3341532000 |
| 7 | 622042110 |
| oct | 213125000 |
| 9 | 75573230 |
| 10 | 36481536 |
| 11 | 19658133 |
| 12 | 10274000 |
| 13 | 7734210 |
| 14 | 4bb9040 |
| 15 | 3309526 |
| hex | 22caa00 |
36481536 has 320 divisors, whose sum is σ = 137491200. Its totient is φ = 9289728.
The previous prime is 36481517. The next prime is 36481547. The reversal of 36481536 is 63518463.
36481536 is a `hidden beast` number, since 3 + 648 + 1 + 5 + 3 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (51840) is a multiple of the sum of its prime divisors (54).
It is a self number, because there is not a number n which added to its sum of digits gives 36481536.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257970 + ... + 1257998.
It is an arithmetic number, because the mean of its divisors is an integer number (429660).
Almost surely, 236481536 is an apocalyptic number.
36481536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).
36481536 is an abundant number, since it is smaller than the sum of its proper divisors (101009664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36481536 is a wasteful number, since it uses less digits than its factorization.
36481536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 54 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 36481536 is about 6039.9947019844. The cubic root of 36481536 is about 331.6584283985.
Adding to 36481536 its reverse (63518463), we get a palindrome (99999999).
It can be divided in two parts, 3648 and 1536, that added together give a square (5184 = 722).
The spelling of 36481536 in words is "thirty-six million, four hundred eighty-one thousand, five hundred thirty-six".
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