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38493585 = 32513292269
BaseRepresentation
bin1001001011010…
…1110110010001
32200102200021100
42102311312101
534323243320
63453015013
7645122124
oct222656621
980380240
1038493585
111a801889
1210a84469
137c89c90
1451803bb
1535a5790
hex24b5d91

38493585 has 48 divisors (see below), whose sum is σ = 74365200. Its totient is φ = 18289152.

The previous prime is 38493583. The next prime is 38493589. The reversal of 38493585 is 58539483.

It is a happy number.

38493585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10265616 + 28227969 = 3204^2 + 5313^2 .

It is not a de Polignac number, because 38493585 - 21 = 38493583 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 38493585.

It is not an unprimeable number, because it can be changed into a prime (38493583) 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, 15831 + ... + 18099.

It is an arithmetic number, because the mean of its divisors is an integer number (1549275).

Almost surely, 238493585 is an apocalyptic number.

It is an amenable number.

38493585 is a deficient number, since it is larger than the sum of its proper divisors (35871615).

38493585 is a wasteful number, since it uses less digits than its factorization.

38493585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2319 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 38493585 is about 6204.3198660288. The cubic root of 38493585 is about 337.6469154615.

The spelling of 38493585 in words is "thirty-eight million, four hundred ninety-three thousand, five hundred eighty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 2269 3393 5655 6807 11345 16965 20421 29497 34035 65801 88491 102105 147485 197403 265473 329005 442455 592209 855413 987015 1327365 2566239 2961045 4277065 7698717 12831195 38493585