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8008884040 = 2351131771877
BaseRepresentation
bin1110111010101110…
…11101111101001000
3202200011010110111211
413131113131331020
5112400233242130
63402414102504
7402316251103
oct73527357510
922604113454
108008884040
11343a896133
1216761aaa34
139a8333a51
1455d93b73a
1531d1a2a2a
hex1dd5ddf48

8008884040 has 32 divisors (see below), whose sum is σ = 18179468280. Its totient is φ = 3175201792.

The previous prime is 8008884019. The next prime is 8008884049. The reversal of 8008884040 is 404888008.

It can be written as a sum of positive squares in 4 ways, for example, as 3544773444 + 4464110596 = 59538^2 + 66814^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8008883984 and 8008884002.

It is not an unprimeable number, because it can be changed into a prime (8008884049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 881419 + ... + 890458.

Almost surely, 28008884040 is an apocalyptic number.

It is an amenable number.

8008884040 is an abundant number, since it is smaller than the sum of its proper divisors (10170584240).

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

8008884040 is a wasteful number, since it uses less digits than its factorization.

8008884040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772001 (or 1771997 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8008884040 is about 89492.3686131952. The cubic root of 8008884040 is about 2000.7400627864.

The spelling of 8008884040 in words is "eight billion, eight million, eight hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 1771877 3543754 7087508 8859385 14175016 17718770 35437540 70875080 200222101 400444202 800888404 1001110505 1601776808 2002221010 4004442020 8008884040