Search a number
-
+
445785516 = 22321110612
BaseRepresentation
bin11010100100100…
…010010110101100
31011001211020202200
4122210202112230
51403110114031
6112122421500
714022054141
oct3244422654
91131736680
10445785516
112096a8290
12105361890
1371482617
14432c23c8
15292098e6
hex1a9225ac

445785516 has 54 divisors (see below), whose sum is σ = 1230447036. Its totient is φ = 134959200.

The previous prime is 445785511. The next prime is 445785541. The reversal of 445785516 is 615587544.

445785516 is a `hidden beast` number, since 4 + 4 + 57 + 85 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (445785511) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 419626 + ... + 420686.

Almost surely, 2445785516 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 445785516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615223518).

445785516 is an abundant number, since it is smaller than the sum of its proper divisors (784661520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

445785516 is a wasteful number, since it uses less digits than its factorization.

445785516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 1077 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 445785516 is about 21113.6334154025. The cubic root of 445785516 is about 763.9096294888.

The spelling of 445785516 in words is "four hundred forty-five million, seven hundred eighty-five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1061 2122 3183 4244 6366 9549 11671 12732 19098 23342 35013 38196 46684 70026 105039 140052 210078 420156 1125721 2251442 3377163 4502884 6754326 10131489 12382931 13508652 20262978 24765862 37148793 40525956 49531724 74297586 111446379 148595172 222892758 445785516