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8442200241 = 335310158411
BaseRepresentation
bin1111101110011000…
…11100000010110001
3210210100111012121000
413313030130002301
5114242200401431
63513413352213
7416130342456
oct76714340261
923710435530
108442200241
113642446aa2
121777338669
13a4703b877
145a12d582d
153462479e6
hex1f731c0b1

8442200241 has 32 divisors (see below), whose sum is σ = 12869331840. Its totient is φ = 5467176000.

The previous prime is 8442200183. The next prime is 8442200293. The reversal of 8442200241 is 1420022448.

It is not a de Polignac number, because 8442200241 - 213 = 8442192049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8442200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115326 + ... + 173736.

It is an arithmetic number, because the mean of its divisors is an integer number (402166620).

Almost surely, 28442200241 is an apocalyptic number.

It is an amenable number.

8442200241 is a deficient number, since it is larger than the sum of its proper divisors (4427131599).

8442200241 is a wasteful number, since it uses less digits than its factorization.

8442200241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58574 (or 58568 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 8442200241 is about 91881.4466636219. The cubic root of 8442200241 is about 2036.1911694421.

Adding to 8442200241 its reverse (1420022448), we get a palindrome (9862222689).

The spelling of 8442200241 in words is "eight billion, four hundred forty-two million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 9 27 53 101 159 303 477 909 1431 2727 5353 16059 48177 58411 144531 175233 525699 1577097 3095783 5899511 9287349 17698533 27862047 53095599 83586141 159286797 312674083 938022249 2814066747 8442200241