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8427829040 = 245591785557
BaseRepresentation
bin1111101100101011…
…00111011100110000
3210202100110002000022
413312111213130300
5114230011012130
63512141343012
7415564236101
oct76625473460
923670402008
108427829040
113635320774
121772567a68
13a440794b7
1459d4343a8
15344d597e5
hex1f6567730

8427829040 has 40 divisors (see below), whose sum is σ = 19926827280. Its totient is φ = 3313991936.

The previous prime is 8427829009. The next prime is 8427829057. The reversal of 8427829040 is 409287248.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 8427828982 and 8427829000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888059 + ... + 897498.

It is an arithmetic number, because the mean of its divisors is an integer number (498170682).

Almost surely, 28427829040 is an apocalyptic number.

8427829040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8427829040 is an abundant number, since it is smaller than the sum of its proper divisors (11498998240).

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

8427829040 is a wasteful number, since it uses less digits than its factorization.

8427829040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785629 (or 1785623 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 8427829040 is about 91803.2082228067. The cubic root of 8427829040 is about 2035.0351069611.

The spelling of 8427829040 in words is "eight billion, four hundred twenty-seven million, eight hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 1785557 3571114 7142228 8927785 14284456 17855570 28568912 35711140 71422280 105347863 142844560 210695726 421391452 526739315 842782904 1053478630 1685565808 2106957260 4213914520 8427829040