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444465675 = 325213714419
BaseRepresentation
bin11010011111100…
…000001000001011
31010222100012021200
4122133200020023
51402240400200
6112034235243
714004616203
oct3237401013
91128305250
10444465675
11208986705
12104a25b23
137110c954
144305b403
1529048800
hex1a7e020b

444465675 has 36 divisors (see below), whose sum is σ = 801953880. Its totient is φ = 235301760.

The previous prime is 444465653. The next prime is 444465677. The reversal of 444465675 is 576564444.

444465675 is a `hidden beast` number, since 4 + 44 + 46 + 567 + 5 = 666.

It is not a de Polignac number, because 444465675 - 25 = 444465643 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444465675.

It is not an unprimeable number, because it can be changed into a prime (444465677) 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 35 ways as a sum of consecutive naturals, for example, 23616 + ... + 38034.

Almost surely, 2444465675 is an apocalyptic number.

444465675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444465675 is a deficient number, since it is larger than the sum of its proper divisors (357488205).

444465675 is a wasteful number, since it uses less digits than its factorization.

444465675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14572 (or 14564 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 444465675 is about 21082.3545886127. The cubic root of 444465675 is about 763.1549796351.

The spelling of 444465675 in words is "four hundred forty-four million, four hundred sixty-five thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 10275 14419 30825 43257 72095 129771 216285 360475 648855 1081425 1975403 3244275 5926209 9877015 17778627 29631045 49385075 88893135 148155225 444465675