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851552680 = 235116131727
BaseRepresentation
bin110010110000011…
…010100110101000
32012100100100200011
4302300122212220
53220444141210
6220255421304
730050035606
oct6260324650
92170310604
10851552680
113a7752150
121b9224834
13107562c34
1481148876
154eb5bd8a
hex32c1a9a8

851552680 has 64 divisors (see below), whose sum is σ = 2124506880. Its totient is φ = 304569600.

The previous prime is 851552677. The next prime is 851552699. The reversal of 851552680 is 86255158.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10977 + ... + 42703.

It is an arithmetic number, because the mean of its divisors is an integer number (33195420).

Almost surely, 2851552680 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 851552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062253440).

851552680 is an abundant number, since it is smaller than the sum of its proper divisors (1272954200).

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

851552680 is a wasteful number, since it uses less digits than its factorization.

851552680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31810 (or 31806 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 40.

The square root of 851552680 is about 29181.3755673032. The cubic root of 851552680 is about 947.8446723977.

The spelling of 851552680 in words is "eight hundred fifty-one million, five hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3355 5368 6710 13420 26840 31727 63454 126908 158635 253816 317270 348997 634540 697994 1269080 1395988 1744985 1935347 2791976 3489970 3870694 6979940 7741388 9676735 13959880 15482776 19353470 21288817 38706940 42577634 77413880 85155268 106444085 170310536 212888170 425776340 851552680