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8247050240 = 220511213
BaseRepresentation
bin1111010111001000…
…00000000000000000
3210021202021120010012
413223210000000000
5113342221101430
63442202524052
7411240525152
oct75344000000
923252246105
108247050240
113552276a00
121721b06628
13a15791cb0
14583416ad2
1533404a695
hex1eb900000

8247050240 has 252 divisors, whose sum is σ = 23429370972. Its totient is φ = 2768240640.

The previous prime is 8247050237. The next prime is 8247050261. The reversal of 8247050240 is 420507428.

It can be written as a sum of positive squares in 2 ways, for example, as 2030043136 + 6217007104 = 45056^2 + 78848^2 .

It is a super-2 number, since 2×82470502402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8247050197 and 8247050206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634388474 + ... + 634388486.

Almost surely, 28247050240 is an apocalyptic number.

8247050240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8247050240 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8247050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714685486).

8247050240 is an abundant number, since it is smaller than the sum of its proper divisors (15182320732).

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

8247050240 is an frugal number, since it uses more digits than its factorization.

8247050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 8247050240 is about 90813.2712768349. The cubic root of 8247050240 is about 2020.3791596206.

Adding to 8247050240 its reverse (420507428), we get a palindrome (8667557668).

The spelling of 8247050240 in words is "eight billion, two hundred forty-seven million, fifty thousand, two hundred forty".