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45381675 = 35231131149
BaseRepresentation
bin1010110100011…
…1100000101011
310011101121221210
42231013200223
543104203200
64300404203
71060511043
oct255074053
9104347853
1045381675
1123686a19
1213246663
13952c281
146054723
153eb6650
hex2b4782b

45381675 has 48 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 23088000.

The previous prime is 45381673. The next prime is 45381689. The reversal of 45381675 is 57618354.

45381675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45381675 - 21 = 45381673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45381673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304501 + ... + 304649.

It is an arithmetic number, because the mean of its divisors is an integer number (1636800).

Almost surely, 245381675 is an apocalyptic number.

45381675 is a deficient number, since it is larger than the sum of its proper divisors (33184725).

45381675 is a wasteful number, since it uses less digits than its factorization.

45381675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 45381675 is about 6736.5922394041. The cubic root of 45381675 is about 356.6921134589.

It can be divided in two parts, 45381 and 675, that added together give a triangular number (46056 = T303).

The spelling of 45381675 in words is "forty-five million, three hundred eighty-one thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 31 75 93 131 149 155 393 447 465 655 745 775 1965 2235 2325 3275 3725 4061 4619 9825 11175 12183 13857 19519 20305 23095 58557 60915 69285 97595 101525 115475 292785 304575 346425 487975 605089 1463925 1815267 3025445 9076335 15127225 45381675