Search a number
-
+
97803306 = 2325433517
BaseRepresentation
bin1011101010001…
…01110000101010
320211000220220200
411311011300222
5200014201211
613412133030
72265212556
oct565056052
9224026820
1097803306
1150231087
1228907176
13173549a3
14cdbc866
1588bdb56
hex5d45c2a

97803306 has 12 divisors (see below), whose sum is σ = 211907202. Its totient is φ = 32601096.

The previous prime is 97803259. The next prime is 97803311. The reversal of 97803306 is 60330879.

It can be written as a sum of positive squares in only one way, i.e., 70711281 + 27092025 = 8409^2 + 5205^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2716741 + ... + 2716776.

Almost surely, 297803306 is an apocalyptic number.

97803306 is an abundant number, since it is smaller than the sum of its proper divisors (114103896).

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

97803306 is a wasteful number, since it uses less digits than its factorization.

97803306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433525 (or 5433522 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 97803306 is about 9889.5553995111. Note that the first 3 decimals coincide. The cubic root of 97803306 is about 460.7349718802.

The spelling of 97803306 in words is "ninety-seven million, eight hundred three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 5433517 10867034 16300551 32601102 48901653 97803306