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8448551056 = 2411220892
BaseRepresentation
bin1111101111001001…
…01010100010010000
3210210210102212021101
413313210222202100
5114300312113211
63514201434144
7416235333121
oct76744524220
923723385241
108448551056
113645a94500
12177949b954
13a4845344a
145a20aa048
15346a9e5c1
hex1f792a890

8448551056 has 45 divisors (see below), whose sum is σ = 18001063353. Its totient is φ = 3838412160.

The previous prime is 8448550991. The next prime is 8448551093. The reversal of 8448551056 is 6501558448.

The square root of 8448551056 is 91916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7444928656 + 1003622400 = 86284^2 + 31680^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8448550997 and 8448551015.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4043260 + ... + 4045348.

Almost surely, 28448551056 is an apocalyptic number.

8448551056 is the 91916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8448551056

8448551056 is an abundant number, since it is smaller than the sum of its proper divisors (9552512297).

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

8448551056 is an equidigital number, since it uses as much as digits as its factorization.

8448551056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The cubic root of 8448551056 is about 2036.7016300548.

It can be divided in two parts, 8448 and 551056, that added together give a square (559504 = 7482).

The spelling of 8448551056 in words is "eight billion, four hundred forty-eight million, five hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2089 4178 8356 16712 22979 33424 45958 91916 183832 252769 367664 505538 1011076 2022152 4044304 4363921 8727842 17455684 34911368 48003131 69822736 96006262 192012524 384025048 528034441 768050096 1056068882 2112137764 4224275528 8448551056