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82445641 = 137733821
BaseRepresentation
bin1001110101000…
…00010101001001
312202010200011021
410322200111021
5132101230031
612103032441
72020530205
oct472402511
9182120137
1082445641
11425a16a3
122373b721
1314108605
14ad41b05
157388511
hex4ea0549

82445641 has 8 divisors (see below), whose sum is σ = 83262024. Its totient is φ = 81632640.

The previous prime is 82445633. The next prime is 82445653. The reversal of 82445641 is 14654428.

82445641 = 64202 + 64212.

It can be written as a sum of positive squares in 4 ways, for example, as 29214025 + 53231616 = 5405^2 + 7296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82445641 - 23 = 82445633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82445597 and 82445606.

It is not an unprimeable number, because it can be changed into a prime (82445611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100011 + ... + 100831.

It is an arithmetic number, because the mean of its divisors is an integer number (10407753).

Almost surely, 282445641 is an apocalyptic number.

82445641 is the 6421-st centered square number.

It is an amenable number.

82445641 is a deficient number, since it is larger than the sum of its proper divisors (816383).

82445641 is a wasteful number, since it uses less digits than its factorization.

82445641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691.

The product of its digits is 30720, while the sum is 34.

The square root of 82445641 is about 9079.9582047496. The cubic root of 82445641 is about 435.2337511473.

The spelling of 82445641 in words is "eighty-two million, four hundred forty-five thousand, six hundred forty-one".

Divisors: 1 137 733 821 100421 112477 601793 82445641