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8424034848 = 2532472332671
BaseRepresentation
bin1111101100001110…
…01001001000100000
3210202002022022100200
413312013021020200
5114223023103343
63511524145200
7415520054235
oct76607111040
923662268320
108424034848
11363316a079
121771238200
13a4334b508
1459cb2778c
1534485a4d3
hex1f61c9220

8424034848 has 144 divisors (see below), whose sum is σ = 24579749376. Its totient is φ = 2735447040.

The previous prime is 8424034847. The next prime is 8424034867. The reversal of 8424034848 is 8484304248.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8424034847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3152553 + ... + 3155223.

It is an arithmetic number, because the mean of its divisors is an integer number (170692704).

Almost surely, 28424034848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424034848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289874688).

8424034848 is an abundant number, since it is smaller than the sum of its proper divisors (16155714528).

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

8424034848 is a wasteful number, since it uses less digits than its factorization.

8424034848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The square root of 8424034848 is about 91782.5410848926. The cubic root of 8424034848 is about 2034.7296715249.

The spelling of 8424034848 in words is "eight billion, four hundred twenty-four million, thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 233 282 288 376 423 466 564 699 752 846 932 1128 1398 1504 1692 1864 2097 2256 2671 2796 3384 3728 4194 4512 5342 5592 6768 7456 8013 8388 10684 10951 11184 13536 16026 16776 21368 21902 22368 24039 32052 32853 33552 42736 43804 48078 64104 65706 67104 85472 87608 96156 98559 125537 128208 131412 175216 192312 197118 251074 256416 262824 350432 376611 384624 394236 502148 525648 622343 753222 769248 788472 1004296 1051296 1129833 1244686 1506444 1576944 1867029 2008592 2259666 2489372 3012888 3153888 3734058 4017184 4519332 4978744 5601087 6025776 7468116 9038664 9957488 11202174 12051552 14936232 18077328 19914976 22404348 29250121 29872464 36154656 44808696 58500242 59744928 87750363 89617392 117000484 175500726 179234784 234000968 263251089 351001452 468001936 526502178 702002904 936003872 1053004356 1404005808 2106008712 2808011616 4212017424 8424034848