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73513505 = 5131975741
BaseRepresentation
bin1000110000110…
…11101000100001
312010022212120102
410120123220201
5122304413010
611143352145
71551566042
oct430335041
9163285512
1073513505
113855086a
1220752655
13122cbb20
149a988c9
1566c1ba5
hex461ba21

73513505 has 16 divisors (see below), whose sum is σ = 95500944. Its totient is φ = 54001920.

The previous prime is 73513501. The next prime is 73513519. The reversal of 73513505 is 50531537.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 73290721 = 472^2 + 8561^2 .

It is not a de Polignac number, because 73513505 - 22 = 73513501 is a prime.

It is a super-3 number, since 3×735135053 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73513501) 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 15 ways as a sum of consecutive naturals, for example, 9935 + ... + 15675.

It is an arithmetic number, because the mean of its divisors is an integer number (5968809).

Almost surely, 273513505 is an apocalyptic number.

It is an amenable number.

73513505 is a deficient number, since it is larger than the sum of its proper divisors (21987439).

73513505 is a wasteful number, since it uses less digits than its factorization.

73513505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956.

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 73513505 is about 8574.0016911592. The cubic root of 73513505 is about 418.9115904171.

Subtracting from 73513505 its sum of digits (29), we obtain a square (73513476 = 85742).

The spelling of 73513505 in words is "seventy-three million, five hundred thirteen thousand, five hundred five".

Divisors: 1 5 13 65 197 985 2561 5741 12805 28705 74633 373165 1130977 5654885 14702701 73513505