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73097793 = 3241198097
BaseRepresentation
bin1000101101101…
…10001001000001
312002112202022200
410112312021001
5122203112133
611130423413
71545215046
oct426661101
9162482280
1073097793
11382974aa
1220591b69
13121b4842
1499cb1cd
15663d913
hex45b6241

73097793 has 12 divisors (see below), whose sum is σ = 108161508. Its totient is φ = 47543040.

The previous prime is 73097789. The next prime is 73097797. The reversal of 73097793 is 39779037.

It is an interprime number because it is at equal distance from previous prime (73097789) and next prime (73097797).

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 33558849 = 6288^2 + 5793^2 .

It is not a de Polignac number, because 73097793 - 22 = 73097789 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73097797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98680 + ... + 99417.

It is an arithmetic number, because the mean of its divisors is an integer number (9013459).

Almost surely, 273097793 is an apocalyptic number.

It is an amenable number.

73097793 is a deficient number, since it is larger than the sum of its proper divisors (35063715).

73097793 is a wasteful number, since it uses less digits than its factorization.

73097793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198144 (or 198141 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 45.

The square root of 73097793 is about 8549.7247324110. The cubic root of 73097793 is about 418.1204619883.

The spelling of 73097793 in words is "seventy-three million, ninety-seven thousand, seven hundred ninety-three".

Divisors: 1 3 9 41 123 369 198097 594291 1782873 8121977 24365931 73097793