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8181282440 = 235211396797
BaseRepresentation
bin1111001111010010…
…00111011010001000
3210010011112012122202
413213221013122020
5113223402014230
63431453135332
7406511516252
oct74751073210
923104465582
108181282440
113519136651
121703a8a548
13a04c75936
145787b6cd2
1532d3a8a45
hex1e7a47688

8181282440 has 32 divisors (see below), whose sum is σ = 18416787480. Its totient is φ = 3270930432.

The previous prime is 8181282427. The next prime is 8181282443. The reversal of 8181282440 is 442821818.

It can be written as a sum of positive squares in 4 ways, for example, as 4556520004 + 3624762436 = 67502^2 + 60206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8181282394 and 8181282403.

It is not an unprimeable number, because it can be changed into a prime (8181282443) by changing a digit.

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, 36122 + ... + 132918.

Almost surely, 28181282440 is an apocalyptic number.

It is an amenable number.

8181282440 is an abundant number, since it is smaller than the sum of its proper divisors (10235505040).

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

8181282440 is a wasteful number, since it uses less digits than its factorization.

8181282440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98921 (or 98917 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 8181282440 is about 90450.4419005236. The cubic root of 8181282440 is about 2014.9941764143.

The spelling of 8181282440 in words is "eight billion, one hundred eighty-one million, two hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2113 4226 8452 10565 16904 21130 42260 84520 96797 193594 387188 483985 774376 967970 1935940 3871880 204532061 409064122 818128244 1022660305 1636256488 2045320610 4090641220 8181282440