Base | Representation |
---|---|
bin | 1010111010011… |
… | …1001000000000 |
3 | 10012010112011212 |
4 | 2232213020000 |
5 | 43204221222 |
6 | 4313025252 |
7 | 1064031614 |
oct | 256471000 |
9 | 105115155 |
10 | 45773312 |
11 | 23924192 |
12 | 133b5228 |
13 | 9638600 |
14 | 6117344 |
15 | 40426e2 |
hex | 2ba7200 |
45773312 has 90 divisors (see below), whose sum is σ = 103526577. Its totient is φ = 20207616.
The previous prime is 45773297. The next prime is 45773317. The reversal of 45773312 is 21337754.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 39137536 + 6635776 = 6256^2 + 2576^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=4784.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a Duffinian number.
Its product of digits (17640) is a multiple of the sum of its prime factors (90).
It is not an unprimeable number, because it can be changed into a prime (45773317) 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, 1990133 + ... + 1990155.
Almost surely, 245773312 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 45773312
45773312 is an abundant number, since it is smaller than the sum of its proper divisors (57753265).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45773312 is an equidigital number, since it uses as much as digits as its factorization.
45773312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 38 counting only the distinct ones).
The product of its digits is 17640, while the sum is 32.
The square root of 45773312 is about 6765.5976823929. The cubic root of 45773312 is about 357.7152422825.
Multiplying 45773312 by its sum of digits (32), we get a square (1464745984 = 382722).
45773312 divided by its sum of digits (32) gives a square (1430416 = 11962).
The spelling of 45773312 in words is "forty-five million, seven hundred seventy-three thousand, three hundred twelve".
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