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8485775848 = 2311239294513
BaseRepresentation
bin1111110011100101…
…01010100111101000
3210220101111002002101
413321302222213220
5114334324311343
63522011343144
7420166622164
oct77162524750
923811432071
108485775848
113664aa9aa0
121789a51ab4
13a53087a54
145a6dd9ca4
15349ea3e4d
hex1f9caa9e8

8485775848 has 64 divisors (see below), whose sum is σ = 18135446400. Its totient is φ = 3684679680.

The previous prime is 8485775813. The next prime is 8485775849.

8485775848 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8485775848.

It is not an unprimeable number, because it can be changed into a prime (8485775849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878040 + ... + 1882552.

It is an arithmetic number, because the mean of its divisors is an integer number (283366350).

Almost surely, 28485775848 is an apocalyptic number.

8485775848 is a gapful number since it is divisible by the number (88) 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 8485775848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067723200).

8485775848 is an abundant number, since it is smaller than the sum of its proper divisors (9649670552).

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

8485775848 is a wasteful number, since it uses less digits than its factorization.

8485775848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5478 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 64.

The square root of 8485775848 is about 92118.2709781290. The cubic root of 8485775848 is about 2039.6885215843.

The spelling of 8485775848 in words is "eight billion, four hundred eighty-five million, seven hundred seventy-five thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 929 1012 1858 2024 3716 4513 7432 9026 10219 18052 20438 21367 36104 40876 42734 49643 81752 85468 99286 103799 170936 198572 207598 235037 397144 415196 470074 830392 940148 1141789 1880296 2283578 4192577 4567156 8385154 9134312 16770308 33540616 46118347 92236694 96429271 184473388 192858542 368946776 385717084 771434168 1060721981 2121443962 4242887924 8485775848