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73444005 = 3259971637
BaseRepresentation
bin1000110000010…
…10101010100101
312010012100020100
410120022222211
5122300202010
611142054313
71551156315
oct430125245
9163170210
1073444005
1138503628
122071a399
13122a62bb
149a7b445
1566ab2c0
hex460aaa5

73444005 has 24 divisors (see below), whose sum is σ = 127508472. Its totient is φ = 39106944.

The previous prime is 73443959. The next prime is 73444031. The reversal of 73444005 is 50044437.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 70006689 = 1854^2 + 8367^2 .

It is not a de Polignac number, because 73444005 - 215 = 73411237 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73444005.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44047 + ... + 45683.

It is an arithmetic number, because the mean of its divisors is an integer number (5312853).

Almost surely, 273444005 is an apocalyptic number.

It is an amenable number.

73444005 is a deficient number, since it is larger than the sum of its proper divisors (54064467).

73444005 is a wasteful number, since it uses less digits than its factorization.

73444005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 73444005 is about 8569.9477828047. The cubic root of 73444005 is about 418.7795351560.

The spelling of 73444005 in words is "seventy-three million, four hundred forty-four thousand, five".

Divisors: 1 3 5 9 15 45 997 1637 2991 4911 4985 8185 8973 14733 14955 24555 44865 73665 1632089 4896267 8160445 14688801 24481335 73444005