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73382265 = 32511213477
BaseRepresentation
bin1000101111110…
…11100101111001
312010002012112200
410113323211321
5122241213030
611140500413
71550511315
oct427734571
9163065480
1073382265
1138471200
12206aa709
1312284178
149a62b45
156697d60
hex45fb979

73382265 has 36 divisors (see below), whose sum is σ = 139820772. Its totient is φ = 35576640.

The previous prime is 73382261. The next prime is 73382273. The reversal of 73382265 is 56228337.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 34892649 = 6204^2 + 5907^2 .

It is not a de Polignac number, because 73382265 - 22 = 73382261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73382261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1294 + ... + 12183.

Almost surely, 273382265 is an apocalyptic number.

It is an amenable number.

73382265 is a deficient number, since it is larger than the sum of its proper divisors (66438507).

73382265 is a wasteful number, since it uses less digits than its factorization.

73382265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13510 (or 13496 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73382265 is about 8566.3449031661. The cubic root of 73382265 is about 418.6621545886.

The spelling of 73382265 in words is "seventy-three million, three hundred eighty-two thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 13477 40431 67385 121293 148247 202155 444741 606465 741235 1334223 1630717 2223705 4892151 6671115 8153585 14676453 24460755 73382265