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444396285 = 32561971669
BaseRepresentation
bin11010011111001…
…111001011111101
31010222012200002200
4122133033023331
51402231140120
6112032542113
714004206664
oct3237171375
91128180080
10444396285
11208939563
121049b1939
13710b71a8
144303dddb
1529032e90
hex1a7cf2fd

444396285 has 48 divisors (see below), whose sum is σ = 791459760. Its totient is φ = 230584320.

The previous prime is 444396283. The next prime is 444396287. The reversal of 444396285 is 582693444.

It is an interprime number because it is at equal distance from previous prime (444396283) and next prime (444396287).

It can be written as a sum of positive squares in 8 ways, for example, as 61685316 + 382710969 = 7854^2 + 19563^2 .

It is not a de Polignac number, because 444396285 - 21 = 444396283 is a prime.

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 444396285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444396283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265431 + ... + 267099.

It is an arithmetic number, because the mean of its divisors is an integer number (16488745).

Almost surely, 2444396285 is an apocalyptic number.

444396285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444396285 is a deficient number, since it is larger than the sum of its proper divisors (347063475).

444396285 is a wasteful number, since it uses less digits than its factorization.

444396285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1835 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 444396285 is about 21080.7088353309. The cubic root of 444396285 is about 763.1152629722.

The spelling of 444396285 in words is "four hundred forty-four million, three hundred ninety-six thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 61 97 183 291 305 485 549 873 915 1455 1669 2745 4365 5007 5917 8345 15021 17751 25035 29585 53253 75105 88755 101809 161893 266265 305427 485679 509045 809465 916281 1457037 1527135 2428395 4581405 7285185 9875473 29626419 49377365 88879257 148132095 444396285