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8608484416 = 26743895021
BaseRepresentation
bin10000000010001101…
…10000110001000000
3211012221101022121011
420001012300301000
5120112233000131
63542113410304
7423216624130
oct100106606100
924187338534
108608484416
1137182a0834
121802b69994
13a7261c77c
145b941cac0
15355b420b1
hex2011b0c40

8608484416 has 112 divisors (see below), whose sum is σ = 20205313920. Its totient is φ = 3562352640.

The previous prime is 8608484393. The next prime is 8608484441. The reversal of 8608484416 is 6144848068.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×86084844162 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8608484416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711986 + ... + 1717006.

Almost surely, 28608484416 is an apocalyptic number.

8608484416 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8608484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102656960).

8608484416 is an abundant number, since it is smaller than the sum of its proper divisors (11596829504).

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

8608484416 is a wasteful number, since it uses less digits than its factorization.

8608484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The square root of 8608484416 is about 92781.9185833102. The cubic root of 8608484416 is about 2049.4731476558.

The spelling of 8608484416 in words is "eight billion, six hundred eight million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 89 112 172 178 224 301 344 356 448 602 623 688 712 1204 1246 1376 1424 2408 2492 2752 2848 3827 4816 4984 5021 5696 7654 9632 9968 10042 15308 19264 19936 20084 26789 30616 35147 39872 40168 53578 61232 70294 80336 107156 122464 140588 160672 214312 215903 244928 281176 321344 428624 431806 446869 562352 857248 863612 893738 1124704 1511321 1714496 1727224 1787476 2249408 3022642 3128083 3454448 3574952 6045284 6256166 6908896 7149904 12090568 12512332 13817792 14299808 19215367 24181136 25024664 28599616 38430734 48362272 50049328 76861468 96724544 100098656 134507569 153722936 200197312 269015138 307445872 538030276 614891744 1076060552 1229783488 2152121104 4304242208 8608484416