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851008872 = 233724316829
BaseRepresentation
bin110010101110010…
…101110101101000
32012022022201201010
4302232111311220
53220324240442
6220240023520
730042312300
oct6256256550
92168281633
10851008872
113a741061a
121b9001ba0
1310740255c
1481046600
154eaa0b9c
hex32b95d68

851008872 has 96 divisors (see below), whose sum is σ = 2532578400. Its totient is φ = 237476736.

The previous prime is 851008867. The next prime is 851008883. The reversal of 851008872 is 278800158.

It is a super-2 number, since 2×8510088722 = 1448432200445424768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 851008872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42154 + ... + 58982.

It is an arithmetic number, because the mean of its divisors is an integer number (26381025).

Almost surely, 2851008872 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 851008872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266289200).

851008872 is an abundant number, since it is smaller than the sum of its proper divisors (1681569528).

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

851008872 is a wasteful number, since it uses less digits than its factorization.

851008872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16895 (or 16884 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 851008872 is about 29172.0563553549. The cubic root of 851008872 is about 947.6428625003.

The spelling of 851008872 in words is "eight hundred fifty-one million, eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2408 3612 4214 6321 7224 8428 12642 16829 16856 25284 33658 50487 50568 67316 100974 117803 134632 201948 235606 353409 403896 471212 706818 723647 824621 942424 1413636 1447294 1649242 2170941 2473863 2827272 2894588 3298484 4341882 4947726 5065529 5789176 6596968 8683764 9895452 10131058 15196587 17367528 19790904 20262116 30393174 35458703 40524232 60786348 70917406 106376109 121572696 141834812 212752218 283669624 425504436 851008872