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4448363680 = 25527802273
BaseRepresentation
bin1000010010010010…
…01010010010100000
3102111000101021210101
410021021022102200
533102240114210
62013223512144
7215143316215
oct41111122240
912430337711
104448363680
111982a92522
12a418b8654
1355b797677
14302b07b0c
151b07dda3a
hex10924a4a0

4448363680 has 24 divisors (see below), whose sum is σ = 10509259572. Its totient is φ = 1779345408.

The previous prime is 4448363677. The next prime is 4448363683. The reversal of 4448363680 is 863638444.

It is an interprime number because it is at equal distance from previous prime (4448363677) and next prime (4448363683).

It can be written as a sum of positive squares in 2 ways, for example, as 4446755856 + 1607824 = 66684^2 + 1268^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4448363680.

It is not an unprimeable number, because it can be changed into a prime (4448363683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13900977 + ... + 13901296.

Almost surely, 24448363680 is an apocalyptic number.

4448363680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4448363680 is an abundant number, since it is smaller than the sum of its proper divisors (6060895892).

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

4448363680 is a wasteful number, since it uses less digits than its factorization.

4448363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27802288 (or 27802280 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The square root of 4448363680 is about 66696.0544560171. The cubic root of 4448363680 is about 1644.6245242014.

The spelling of 4448363680 in words is "four billion, four hundred forty-eight million, three hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 27802273 55604546 111209092 139011365 222418184 278022730 444836368 556045460 889672736 1112090920 2224181840 4448363680