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8000448864 = 253194386211
BaseRepresentation
bin1110111001101110…
…10010100101100000
3202122120020220121220
413130313102211200
5112341103330424
63401513215040
7402154456542
oct73467224540
922576226556
108000448864
113436054711
121673401480
139a666c515
1455c783692
1531c588579
hex1dcdd2960

8000448864 has 48 divisors (see below), whose sum is σ = 22106508480. Its totient is φ = 2526456960.

The previous prime is 8000448857. The next prime is 8000448871. The reversal of 8000448864 is 4688440008.

It is an interprime number because it is at equal distance from previous prime (8000448857) and next prime (8000448871).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2191282 + ... + 2194929.

It is an arithmetic number, because the mean of its divisors is an integer number (460552260).

Almost surely, 28000448864 is an apocalyptic number.

It is an amenable number.

8000448864 is an abundant number, since it is smaller than the sum of its proper divisors (14106059616).

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

8000448864 is a wasteful number, since it uses less digits than its factorization.

8000448864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386243 (or 4386235 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 8000448864 is about 89445.2282908373. The cubic root of 8000448864 is about 2000.0374046338.

The spelling of 8000448864 in words is "eight billion, four hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4386211 8772422 13158633 17544844 26317266 35089688 52634532 70179376 83338009 105269064 140358752 166676018 210538128 250014027 333352036 421076256 500028054 666704072 1000056108 1333408144 2000112216 2666816288 4000224432 8000448864