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8848224042 = 2373147144593
BaseRepresentation
bin10000011110110010…
…10010111100101010
3211211122111100112120
420033121102330222
5121110121132132
64022000052110
7432160443360
oct101731227452
924748440476
108848224042
113830656759
12186b304036
13ab01abc38
145dd1c7630
1536bbeb02c
hex20f652f2a

8848224042 has 64 divisors (see below), whose sum is σ = 21321252864. Its totient is φ = 2394443520.

The previous prime is 8848224037. The next prime is 8848224083. The reversal of 8848224042 is 2404228488.

8848224042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8848223985 and 8848224003.

It is an unprimeable number.

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, 11103 + ... + 133490.

It is an arithmetic number, because the mean of its divisors is an integer number (333144576).

Almost surely, 28848224042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8848224042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660626432).

8848224042 is an abundant number, since it is smaller than the sum of its proper divisors (12473028822).

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

8848224042 is a wasteful number, since it uses less digits than its factorization.

8848224042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144683.

The product of its (nonzero) digits is 262144, while the sum is 42.

The square root of 8848224042 is about 94064.9990272684. Note that the first 3 decimals coincide. The cubic root of 8848224042 is about 2068.3246295958.

The spelling of 8848224042 in words is "eight billion, eight hundred forty-eight million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 186 217 282 329 434 651 658 987 1302 1457 1974 2914 4371 8742 10199 20398 30597 61194 144593 289186 433779 867558 1012151 2024302 3036453 4482383 6072906 6795871 8964766 13447149 13591742 20387613 26894298 31376681 40775226 47571097 62753362 94130043 95142194 142713291 188260086 210672001 285426582 421344002 632016003 1264032006 1474704007 2949408014 4424112021 8848224042