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3265875456 = 29343197251
BaseRepresentation
bin1100001010101001…
…0100111000000000
322102121022122220020
43002222110320000
523142031003311
61300023013440
7143634324534
oct30252247000
98377278806
103265875456
111426557628
1277189a280
134007c4bac
1422da55bc4
15141ab1c06
hexc2a94e00

3265875456 has 160 divisors (see below), whose sum is σ = 8983675008. Its totient is φ = 1053696000.

The previous prime is 3265875433. The next prime is 3265875467. The reversal of 3265875456 is 6545785623.

It is a junction number, because it is equal to n+sod(n) for n = 3265875399 and 3265875408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13011331 + ... + 13011581.

Almost surely, 23265875456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3265875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491837504).

3265875456 is an abundant number, since it is smaller than the sum of its proper divisors (5717799552).

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

3265875456 is a wasteful number, since it uses less digits than its factorization.

3265875456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The square root of 3265875456 is about 57147.8385942986. The cubic root of 3265875456 is about 1483.6559626575.

The spelling of 3265875456 in words is "three billion, two hundred sixty-five million, eight hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 197 251 256 258 344 384 394 502 512 516 591 688 753 768 788 1004 1032 1182 1376 1506 1536 1576 2008 2064 2364 2752 3012 3152 4016 4128 4728 5504 6024 6304 8032 8256 8471 9456 10793 11008 12048 12608 16064 16512 16942 18912 21586 22016 24096 25216 25413 32128 32379 33024 33884 37824 43172 48192 49447 50432 50826 64256 64758 66048 67768 75648 86344 96384 98894 100864 101652 128512 129516 135536 148341 151296 172688 192768 197788 203304 259032 271072 296682 302592 345376 385536 395576 406608 518064 542144 593364 690752 791152 813216 1036128 1084288 1186728 1381504 1582304 1626432 2072256 2126221 2168576 2373456 2763008 3164608 3252864 4144512 4252442 4337152 4746912 5526016 6329216 6378663 6505728 8289024 8504884 9493824 12658432 12757326 13011456 16578048 17009768 18987648 25316864 25514652 34019536 37975296 51029304 68039072 75950592 102058608 136078144 204117216 272156288 408234432 544312576 816468864 1088625152 1632937728 3265875456