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97803305 = 5180110861
BaseRepresentation
bin1011101010001…
…01110000101001
320211000220220122
411311011300221
5200014201210
613412133025
72265212555
oct565056051
9224026818
1097803305
1150231086
1228907175
13173549a2
14cdbc865
1588bdb55
hex5d45c29

97803305 has 8 divisors (see below), whose sum is σ = 117439944. Its totient is φ = 78192000.

The previous prime is 97803259. The next prime is 97803311. The reversal of 97803305 is 50330879.

It can be written as a sum of positive squares in 4 ways, for example, as 346921 + 97456384 = 589^2 + 9872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 97803305 - 214 = 97786921 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 3575 + ... + 14435.

It is an arithmetic number, because the mean of its divisors is an integer number (14679993).

Almost surely, 297803305 is an apocalyptic number.

It is an amenable number.

97803305 is a deficient number, since it is larger than the sum of its proper divisors (19636639).

97803305 is a wasteful number, since it uses less digits than its factorization.

97803305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 97803305 is about 9889.5553489528. Note that the first 3 decimals coincide. The cubic root of 97803305 is about 460.7349703099.

The spelling of 97803305 in words is "ninety-seven million, eight hundred three thousand, three hundred five".

Divisors: 1 5 1801 9005 10861 54305 19560661 97803305