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65828664 = 23321183117
BaseRepresentation
bin1111101100011…
…1011100111000
311120212102221200
43323013130320
5113323004124
610310534200
71426351206
oct373073470
9146772850
1065828664
1134182060
121a067360
131083ac95
148a58076
155ba4bc9
hex3ec7738

65828664 has 48 divisors (see below), whose sum is σ = 194496120. Its totient is φ = 19947840.

The previous prime is 65828663. The next prime is 65828677. The reversal of 65828664 is 46682856.

65828664 is a `hidden beast` number, since 6 + 582 + 8 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65828663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40767 + ... + 42350.

Almost surely, 265828664 is an apocalyptic number.

It is an amenable number.

65828664 is an abundant number, since it is smaller than the sum of its proper divisors (128667456).

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

65828664 is a wasteful number, since it uses less digits than its factorization.

65828664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83140 (or 83133 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 65828664 is about 8113.4865501830. The cubic root of 65828664 is about 403.7739970465.

The spelling of 65828664 in words is "sixty-five million, eight hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 83117 166234 249351 332468 498702 664936 748053 914287 997404 1496106 1828574 1994808 2742861 2992212 3657148 5485722 5984424 7314296 8228583 10971444 16457166 21942888 32914332 65828664