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8242886480 = 2455311091753
BaseRepresentation
bin1111010110101000…
…00111011101010000
3210021110110000111212
413223110013131100
5113340134331410
63441533355252
7411160244003
oct75324073520
923243400455
108242886480
11354a992684
121720638b28
13a14964a2a
14582a5153a
153339c6b05
hex1eb507750

8242886480 has 80 divisors (see below), whose sum is σ = 19555065360. Its totient is φ = 3230183424.

The previous prime is 8242886473. The next prime is 8242886497. The reversal of 8242886480 is 846882428.

It can be written as a sum of positive squares in 8 ways, for example, as 2579420944 + 5663465536 = 50788^2 + 75256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4701284 + ... + 4703036.

It is an arithmetic number, because the mean of its divisors is an integer number (244438317).

Almost surely, 28242886480 is an apocalyptic number.

8242886480 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 8242886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777532680).

8242886480 is an abundant number, since it is smaller than the sum of its proper divisors (11312178880).

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

8242886480 is a wasteful number, since it uses less digits than its factorization.

8242886480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 50.

The square root of 8242886480 is about 90790.3435393875. The cubic root of 8242886480 is about 2020.0390869148.

The spelling of 8242886480 in words is "eight billion, two hundred forty-two million, eight hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1109 1753 2120 2218 3506 4240 4436 5545 7012 8765 8872 11090 14024 17530 17744 22180 28048 35060 44360 58777 70120 88720 92909 117554 140240 185818 235108 293885 371636 464545 470216 587770 743272 929090 940432 1175540 1486544 1858180 1944077 2351080 3716360 3888154 4702160 7432720 7776308 9720385 15552616 19440770 31105232 38881540 77763080 103036081 155526160 206072162 412144324 515180405 824288648 1030360810 1648577296 2060721620 4121443240 8242886480