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65182368 = 2532353557
BaseRepresentation
bin1111100010100…
…1101010100000
311112122121101210
43320221222200
5113141313433
610245030120
71421020026
oct370515240
9145577353
1065182368
1133880529
12199b5340
1310672a64
14892a716
155ac8463
hex3e29aa0

65182368 has 96 divisors (see below), whose sum is σ = 182238336. Its totient is φ = 20354048.

The previous prime is 65182363. The next prime is 65182393. The reversal of 65182368 is 86328156.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65182363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116746 + ... + 117302.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 265182368 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 65182368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91119168).

65182368 is an abundant number, since it is smaller than the sum of its proper divisors (117055968).

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

65182368 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (65182367) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (638).

65182368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 65182368 is about 8073.5598096503. The cubic root of 65182368 is about 402.4482512589.

The spelling of 65182368 in words is "sixty-five million, one hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 557 636 736 848 1104 1114 1219 1272 1671 1696 2208 2228 2438 2544 3342 3657 4456 4876 5088 6684 7314 8912 9752 12811 13368 14628 17824 19504 25622 26736 29256 29521 38433 39008 51244 53472 58512 59042 76866 88563 102488 117024 118084 153732 177126 204976 236168 307464 354252 409952 472336 614928 678983 708504 944672 1229856 1357966 1417008 2036949 2715932 2834016 4073898 5431864 8147796 10863728 16295592 21727456 32591184 65182368