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8245548025 = 521121321272
BaseRepresentation
bin1111010110111100…
…10001001111111001
3210021122110020110121
413223132101033321
5113341330014100
63442110413241
7411222000421
oct75336211771
923248406417
108245548025
113551440300
121721501221
13a15387300
14583145481
15333d5051a
hex1eb7913f9

8245548025 has 81 divisors (see below), whose sum is σ = 12266052813. Its totient is φ = 5491886400.

The previous prime is 8245548011. The next prime is 8245548041. The reversal of 8245548025 is 5208455428.

The square root of 8245548025 is 90805.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2125302201 + 6120245824 = 46101^2 + 78232^2 .

It is not a de Polignac number, because 8245548025 - 217 = 8245416953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64925512 + ... + 64925638.

Almost surely, 28245548025 is an apocalyptic number.

8245548025 is the 90805-th square number.

8245548025 is the 45403-rd centered octagonal number.

It is an amenable number.

8245548025 is a deficient number, since it is larger than the sum of its proper divisors (4020504788).

8245548025 is a wasteful number, since it uses less digits than its factorization.

8245548025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The cubic root of 8245548025 is about 2020.2564802751.

The spelling of 8245548025 in words is "eight billion, two hundred forty-five million, five hundred forty-eight thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 127 143 169 275 325 605 635 715 845 1397 1573 1651 1859 3025 3175 3575 4225 6985 7865 8255 9295 15367 16129 18161 20449 21463 34925 39325 41275 46475 76835 80645 90805 102245 107315 177419 199771 209677 236093 384175 403225 454025 511225 536575 887095 998855 1048385 1180465 1951609 2306447 2597023 2725801 4435475 4994275 5241925 5902325 9758045 11532235 12985115 13629005 25370917 29983811 48790225 57661175 64925575 68145025 126854585 149919055 329821921 634272925 749595275 1649109605 8245548025