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8282984070 = 2351925756543
BaseRepresentation
bin1111011011011010…
…00100111010000110
3210101020220012001210
413231231010322012
5113430420442240
63445525032250
7412155126414
oct75555047206
923336805053
108282984070
11357058a589
121731b55686
13a20063b0a
145880cc2b4
15337297780
hex1edb44e86

8282984070 has 64 divisors (see below), whose sum is σ = 21007226880. Its totient is φ = 2084364288.

The previous prime is 8282984057. The next prime is 8282984071. The reversal of 8282984070 is 704892828.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282984071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118219 + ... + 174761.

It is an arithmetic number, because the mean of its divisors is an integer number (328237920).

Almost surely, 28282984070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8282984070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503613440).

8282984070 is an abundant number, since it is smaller than the sum of its proper divisors (12724242810).

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

8282984070 is a wasteful number, since it uses less digits than its factorization.

8282984070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56829.

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 8282984070 is about 91010.9008306148. The cubic root of 8282984070 is about 2023.3092889842.

The spelling of 8282984070 in words is "eight billion, two hundred eighty-two million, nine hundred eighty-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 257 285 514 570 771 1285 1542 2570 3855 4883 7710 9766 14649 24415 29298 48830 56543 73245 113086 146490 169629 282715 339258 565430 848145 1074317 1696290 2148634 3222951 5371585 6445902 10743170 14531551 16114755 29063102 32229510 43594653 72657755 87189306 145315510 217973265 276099469 435946530 552198938 828298407 1380497345 1656596814 2760994690 4141492035 8282984070