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65795072 = 210767137
BaseRepresentation
bin1111101011111…
…1010000000000
311120210201212112
43322333100000
5113320420242
610310114452
71426151240
oct372772000
9146721775
1065795072
11341598a2
121a04ba28
13108288c5
148a49b20
155b99c82
hex3ebf400

65795072 has 88 divisors (see below), whose sum is σ = 153672384. Its totient is φ = 27574272.

The previous prime is 65795033. The next prime is 65795087. The reversal of 65795072 is 27059756.

65795072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480188 + ... + 480324.

Almost surely, 265795072 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 65795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76836192).

65795072 is an abundant number, since it is smaller than the sum of its proper divisors (87877312).

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

65795072 is a wasteful number, since it uses less digits than its factorization.

65795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 65795072 is about 8111.4161525593. The cubic root of 65795072 is about 403.7053041546.

The spelling of 65795072 in words is "sixty-five million, seven hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 137 224 256 268 274 448 469 512 536 548 896 938 959 1024 1072 1096 1792 1876 1918 2144 2192 3584 3752 3836 4288 4384 7168 7504 7672 8576 8768 9179 15008 15344 17152 17536 18358 30016 30688 34304 35072 36716 60032 61376 64253 68608 70144 73432 120064 122752 128506 140288 146864 240128 245504 257012 293728 480256 491008 514024 587456 982016 1028048 1174912 2056096 2349824 4112192 4699648 8224384 9399296 16448768 32897536 65795072