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8260482240 = 2632517168719
BaseRepresentation
bin1111011000101110…
…01111010011000000
3210022200112222100200
413230113033103000
5113404140412430
63443402445200
7411462640413
oct75427172300
923280488320
108260482240
11355991062a
121726503800
13a184b5a1a
14585111b7a
15335300460
hex1ec5cf4c0

8260482240 has 168 divisors, whose sum is σ = 30084125760. Its totient is φ = 2073206784.

The previous prime is 8260482187. The next prime is 8260482281. The reversal of 8260482240 is 422840628.

It is a happy number.

8260482240 is a `hidden beast` number, since 8 + 2 + 604 + 8 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8260482195 and 8260482204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35400 + ... + 133319.

Almost surely, 28260482240 is an apocalyptic number.

8260482240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042062880).

8260482240 is an abundant number, since it is smaller than the sum of its proper divisors (21823643520).

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

8260482240 is a wasteful number, since it uses less digits than its factorization.

8260482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168759 (or 168746 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8260482240 is about 90887.1951377090. The cubic root of 8260482240 is about 2021.4754309052.

The spelling of 8260482240 in words is "eight billion, two hundred sixty million, four hundred eighty-two thousand, two hundred forty".