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65776095 = 32571141463
BaseRepresentation
bin1111101011101…
…0100111011111
311120202202211200
43322322213133
5113314313340
610305450543
71426042020
oct372724737
9146682750
1065776095
1134146610
121a040a53
1310820088
148a42c47
155b94330
hex3eba9df

65776095 has 96 divisors (see below), whose sum is σ = 145926144. Its totient is φ = 26611200.

The previous prime is 65776093. The next prime is 65776103. The reversal of 65776095 is 59067756.

It is a happy number.

It is not a de Polignac number, because 65776095 - 21 = 65776093 is a prime.

It is a super-3 number, since 3×657760953 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 65776095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65776093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141834 + ... + 142296.

It is an arithmetic number, because the mean of its divisors is an integer number (1520064).

Almost surely, 265776095 is an apocalyptic number.

65776095 is an abundant number, since it is smaller than the sum of its proper divisors (80150049).

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

65776095 is a wasteful number, since it uses less digits than its factorization.

65776095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 65776095 is about 8110.2462971232. The cubic root of 65776095 is about 403.6664874064. Note that the first 3 decimals are identical.

The spelling of 65776095 in words is "sixty-five million, seven hundred seventy-six thousand, ninety-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 41 45 55 63 77 99 105 123 165 205 231 287 315 369 385 451 463 495 615 693 861 1155 1353 1389 1435 1845 2255 2315 2583 3157 3241 3465 4059 4167 4305 5093 6765 6945 9471 9723 12915 15279 15785 16205 18983 20295 20835 25465 28413 29169 35651 45837 47355 48615 56949 76395 94915 106953 132881 142065 145845 170847 178255 208813 229185 284745 320859 398643 534765 626439 664405 854235 1044065 1195929 1461691 1604295 1879317 1993215 3132195 4385073 5979645 7308455 9396585 13155219 21925365 65776095