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444620085 = 35713325729
BaseRepresentation
bin11010100000000…
…101110100110101
31010222122001002120
4122200011310311
51402310320320
6112041430153
714006131320
oct3240056465
91128561076
10444620085
11208a81718
12104a9b359
1371165010
144309b7b7
1529079440
hex1a805d35

444620085 has 32 divisors (see below), whose sum is σ = 875562240. Its totient is φ = 187619328.

The previous prime is 444620063. The next prime is 444620087. The reversal of 444620085 is 580026444.

It is not a de Polignac number, because 444620085 - 212 = 444615989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444620087) 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 31 ways as a sum of consecutive naturals, for example, 161500 + ... + 164229.

It is an arithmetic number, because the mean of its divisors is an integer number (27361320).

Almost surely, 2444620085 is an apocalyptic number.

It is an amenable number.

444620085 is a deficient number, since it is larger than the sum of its proper divisors (430942155).

444620085 is a wasteful number, since it uses less digits than its factorization.

444620085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325757.

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 444620085 is about 21086.0163378482. The cubic root of 444620085 is about 763.2433442518.

It can be divided in two parts, 4446 and 20085, that added together give a triangular number (24531 = T221).

The spelling of 444620085 in words is "four hundred forty-four million, six hundred twenty thousand, eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 325729 977187 1628645 2280103 4234477 4885935 6840309 11400515 12703431 21172385 29641339 34201545 63517155 88924017 148206695 444620085