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8242882428 = 2231168699091
BaseRepresentation
bin1111010110101000…
…00110011101111100
3210021110102210221210
413223110012131330
5113340134214203
63441533324420
7411160226124
oct75324063574
923243383853
108242882428
11354a98a630
121720636710
13a14962c31
14582a4dc84
153339c5803
hex1eb50677c

8242882428 has 48 divisors (see below), whose sum is σ = 20987245440. Its totient is φ = 2497204800.

The previous prime is 8242882331. The next prime is 8242882441.

8242882428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82428824282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902163 + ... + 911253.

It is an arithmetic number, because the mean of its divisors is an integer number (437234280).

Almost surely, 28242882428 is an apocalyptic number.

It is an amenable number.

8242882428 is an abundant number, since it is smaller than the sum of its proper divisors (12744363012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8242882428 is a wasteful number, since it uses less digits than its factorization.

8242882428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15978 (or 15976 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 8242882428 is about 90790.3212242362. The cubic root of 8242882428 is about 2020.0387559143.

The spelling of 8242882428 in words is "eight billion, two hundred forty-two million, eight hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 6869 9091 13738 18182 20607 27273 27476 36364 41214 54546 75559 82428 100001 109092 151118 200002 226677 300003 302236 400004 453354 600006 906708 1200012 62446079 124892158 187338237 249784316 374676474 686906869 749352948 1373813738 2060720607 2747627476 4121441214 8242882428