Search a number
-
+
96643305 = 32511217749
BaseRepresentation
bin1011100001010…
…10100011101001
320201211222200200
411300222203221
5144220041210
613331222413
72252311623
oct560524351
9221758620
1096643305
114a609600
1228447a09
13170399b5
14cb99c13
1587400c0
hex5c2a8e9

96643305 has 36 divisors (see below), whose sum is σ = 184138500. Its totient is φ = 46854720.

The previous prime is 96643303. The next prime is 96643319. The reversal of 96643305 is 50334669.

96643305 is a `hidden beast` number, since 9 + 6 + 643 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 78801129 = 4224^2 + 8877^2 .

It is not a de Polignac number, because 96643305 - 21 = 96643303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 96643305.

It is not an unprimeable number, because it can be changed into a prime (96643301) 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 35 ways as a sum of consecutive naturals, for example, 3430 + ... + 14319.

Almost surely, 296643305 is an apocalyptic number.

It is an amenable number.

96643305 is a deficient number, since it is larger than the sum of its proper divisors (87495195).

96643305 is a wasteful number, since it uses less digits than its factorization.

96643305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17782 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 96643305 is about 9830.7326786969. The cubic root of 96643305 is about 458.9061992383.

The spelling of 96643305 in words is "ninety-six million, six hundred forty-three thousand, three hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 17749 53247 88745 159741 195239 266235 585717 798705 976195 1757151 2147629 2928585 6442887 8785755 10738145 19328661 32214435 96643305