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8608242640 = 245426125253
BaseRepresentation
bin10000000010001011…
…10101101111010000
3211012220221000221111
420001011311233100
5120112202231030
63542104303104
7423214566214
oct100105655720
924186830844
108608242640
113718146118
121802a71a94
13a725666ca
145b9398944
15355ae562a
hex201175bd0

8608242640 has 40 divisors (see below), whose sum is σ = 20019653928. Its totient is φ = 3442352640.

The previous prime is 8608242631. The next prime is 8608242649. The reversal of 8608242640 is 462428068.

It is an interprime number because it is at equal distance from previous prime (8608242631) and next prime (8608242649).

It can be written as a sum of positive squares in 4 ways, for example, as 5348289424 + 3259953216 = 73132^2 + 57096^2 .

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

It is a super-2 number, since 2×86082426402 (a number of 21 digits) contains 22 as substring.

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 = 8608242593 and 8608242602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8608242649) 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, 328254 + ... + 353506.

Almost surely, 28608242640 is an apocalyptic number.

8608242640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8608242640 is an abundant number, since it is smaller than the sum of its proper divisors (11411411288).

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

8608242640 is a wasteful number, since it uses less digits than its factorization.

8608242640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29527 (or 29521 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 8608242640 is about 92780.6156478820. The cubic root of 8608242640 is about 2049.4539604588.

The spelling of 8608242640 in words is "eight billion, six hundred eight million, two hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4261 8522 17044 21305 25253 34088 42610 50506 68176 85220 101012 126265 170440 202024 252530 340880 404048 505060 1010120 2020240 107603033 215206066 430412132 538015165 860824264 1076030330 1721648528 2152060660 4304121320 8608242640