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505675443 = 37213192733
BaseRepresentation
bin11110001000111…
…111111010110011
31022020111222022010
4132020333322303
52013423103233
6122102214003
715350112300
oct3610777263
91266458263
10505675443
1123a493499
12121424303
13809c1450
144b2320a7
152e5d9b63
hex1e23feb3

505675443 has 72 divisors (see below), whose sum is σ = 892655568. Its totient is φ = 252346752.

The previous prime is 505675439. The next prime is 505675451. The reversal of 505675443 is 344576505.

It is not a de Polignac number, because 505675443 - 22 = 505675439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505675403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 689505 + ... + 690237.

It is an arithmetic number, because the mean of its divisors is an integer number (12397994).

Almost surely, 2505675443 is an apocalyptic number.

505675443 is a deficient number, since it is larger than the sum of its proper divisors (386980125).

505675443 is a wasteful number, since it uses less digits than its factorization.

505675443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 505675443 is about 22487.2284419401. The cubic root of 505675443 is about 796.6923026672.

The spelling of 505675443 in words is "five hundred five million, six hundred seventy-five thousand, four hundred forty-three".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 361 399 637 733 741 931 1083 1729 1911 2199 2527 2793 4693 5131 5187 7581 9529 12103 13927 14079 15393 17689 28587 32851 35917 36309 41781 53067 66703 97489 98553 107751 181051 200109 229957 264613 292467 466921 543153 682423 689871 793839 1267357 1400763 1852291 2047269 3439969 3802071 5556873 8871499 10319907 12966037 24079783 26614497 38898111 72239349 168558481 505675443