Base | Representation |
---|---|
bin | 1010111000011… |
… | …1011100010000 |
3 | 10011212221011100 |
4 | 2232013130100 |
5 | 43141043121 |
6 | 4310144400 |
7 | 1062651351 |
oct | 256073420 |
9 | 104787140 |
10 | 45643536 |
11 | 23845734 |
12 | 13352100 |
13 | 95c1513 |
14 | 60c1d28 |
15 | 4019026 |
hex | 2b87710 |
45643536 has 45 divisors (see below), whose sum is σ = 127965799. Its totient is φ = 15187488.
The previous prime is 45643531. The next prime is 45643541. The reversal of 45643536 is 63534654.
The square root of 45643536 is 6756.
It is a perfect power (a square), and thus also a powerful number.
45643536 is a `hidden beast` number, since 4 + 5 + 643 + 5 + 3 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (45643531) and next prime (45643541).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 45643536.
It is not an unprimeable number, because it can be changed into a prime (45643531) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80791 + ... + 81353.
Almost surely, 245643536 is an apocalyptic number.
45643536 is the 6756-th square number.
It is an amenable number.
45643536 is an abundant number, since it is smaller than the sum of its proper divisors (82322263).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45643536 is an equidigital number, since it uses as much as digits as its factorization.
45643536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1140 (or 568 counting only the distinct ones).
The product of its digits is 129600, while the sum is 36.
The cubic root of 45643536 is about 357.3768588228.
Multiplying 45643536 by its sum of digits (36), we get a square (1643167296 = 405362).
45643536 divided by its sum of digits (36) gives a square (1267876 = 11262).
Multiplying 45643536 by its product of digits (129600), we get a square (5915402265600 = 24321602).
It can be divided in two parts, 4564 and 3536, that added together give a square (8100 = 902).
The spelling of 45643536 in words is "forty-five million, six hundred forty-three thousand, five hundred thirty-six".
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