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65095488 = 263429433
BaseRepresentation
bin1111100001010…
…0011101000000
311112111012020000
43320110131000
5113131023423
610243120000
71420205523
oct370243500
9145435200
1065095488
1133821227
1219973000
1310642353
148906bba
155aac843
hex3e14740

65095488 has 140 divisors (see below), whose sum is σ = 200078340. Its totient is φ = 20901888.

The previous prime is 65095411. The next prime is 65095523. The reversal of 65095488 is 88459056.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 45805824 = 4392^2 + 6768^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 19 ways as a sum of consecutive naturals, for example, 150120 + ... + 150552.

It is an arithmetic number, because the mean of its divisors is an integer number (1429131).

Almost surely, 265095488 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 65095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100039170).

65095488 is an abundant number, since it is smaller than the sum of its proper divisors (134982852).

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

65095488 is a wasteful number, since it uses less digits than its factorization.

65095488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 65095488 is about 8068.1774893714. The cubic root of 65095488 is about 402.2693672488.

The spelling of 65095488 in words is "sixty-five million, ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 433 464 522 576 648 696 783 864 866 928 1044 1296 1299 1392 1566 1728 1732 1856 2088 2349 2592 2598 2784 3132 3464 3897 4176 4698 5184 5196 5568 6264 6928 7794 8352 9396 10392 11691 12528 12557 13856 15588 16704 18792 20784 23382 25056 25114 27712 31176 35073 37584 37671 41568 46764 50112 50228 62352 70146 75168 75342 83136 93528 100456 113013 124704 140292 150336 150684 187056 200912 226026 249408 280584 301368 339039 374112 401824 452052 561168 602736 678078 748224 803648 904104 1017117 1122336 1205472 1356156 1808208 2034234 2244672 2410944 2712312 3616416 4068468 5424624 7232832 8136936 10849248 16273872 21698496 32547744 65095488