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8671005252 = 22327134216287
BaseRepresentation
bin10000001001101010…
…10000101001000100
3211101022000201001200
420010311100221010
5120224234132002
63552225422500
7424606220460
oct100465205104
924338021050
108671005252
11374a613648
12181ba9aa30
13a8256cc50
145c38554a0
1535b391b1c
hex204d50a44

8671005252 has 144 divisors (see below), whose sum is σ = 27044838912. Its totient is φ = 2281063680.

The previous prime is 8671005209. The next prime is 8671005337. The reversal of 8671005252 is 2525001768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376053 + ... + 1382339.

Almost surely, 28671005252 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 8671005252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522419456).

8671005252 is an abundant number, since it is smaller than the sum of its proper divisors (18373833660).

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

8671005252 is a wasteful number, since it uses less digits than its factorization.

8671005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8671005252 is about 93118.2326507543. The cubic root of 8671005252 is about 2054.4227536685.

The spelling of 8671005252 in words is "eight billion, six hundred seventy-one million, five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 421 468 546 819 842 1092 1263 1638 1684 2526 2947 3276 3789 5052 5473 5894 6287 7578 8841 10946 11788 12574 15156 16419 17682 18861 21892 25148 26523 32838 35364 37722 38311 44009 49257 53046 56583 65676 75444 76622 81731 88018 98514 106092 113166 114933 132027 153244 163462 176036 197028 226332 229866 245193 264054 326924 344799 396081 459732 490386 528108 572117 689598 735579 792162 980772 1144234 1379196 1471158 1584324 1716351 2288468 2646827 2942316 3432702 5149053 5293654 6865404 7940481 10298106 10587308 15880962 18527789 20596212 23821443 31761924 34408751 37055578 47642886 55583367 68817502 74111156 95285772 103226253 111166734 137635004 166750101 206452506 222333468 240861257 309678759 333500202 412905012 481722514 619357518 667000404 722583771 963445028 1238715036 1445167542 2167751313 2890335084 4335502626 8671005252