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65684064 = 2531936011
BaseRepresentation
bin1111101010010…
…0001001100000
311120121002121010
43322210021200
5113303342224
610303500520
71425206505
oct372441140
9146532533
1065684064
1134093456
1219bb7740
13107ba214
148a1b4ac
155b76e29
hex3ea4260

65684064 has 48 divisors (see below), whose sum is σ = 181500480. Its totient is φ = 20741760.

The previous prime is 65684063. The next prime is 65684081. The reversal of 65684064 is 46048656.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65684063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16182 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (3781260).

Almost surely, 265684064 is an apocalyptic number.

It is an amenable number.

65684064 is an abundant number, since it is smaller than the sum of its proper divisors (115816416).

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

65684064 is a wasteful number, since it uses less digits than its factorization.

65684064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36043 (or 36035 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 65684064 is about 8104.5705623432. The cubic root of 65684064 is about 403.4781354419.

The spelling of 65684064 in words is "sixty-five million, six hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 36011 72022 108033 144044 216066 288088 432132 576176 684209 864264 1152352 1368418 1728528 2052627 2736836 3457056 4105254 5473672 8210508 10947344 16421016 21894688 32842032 65684064