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65427016 = 23172953313
BaseRepresentation
bin1111100110010…
…1011001001000
311120010000222211
43321211121020
5113222131031
610254154504
71423056214
oct371453110
9146100884
1065427016
1133a28316
1219ab2a34
131072a215
148991944
155b25bb1
hex3e65648

65427016 has 64 divisors (see below), whose sum is σ = 137343600. Its totient is φ = 29073408.

The previous prime is 65427007. The next prime is 65427017. The reversal of 65427016 is 61072456.

It is a happy number.

65427016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27604516 + 37822500 = 5254^2 + 6150^2 .

It is not an unprimeable number, because it can be changed into a prime (65427017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 208876 + ... + 209188.

Almost surely, 265427016 is an apocalyptic number.

It is an amenable number.

65427016 is an abundant number, since it is smaller than the sum of its proper divisors (71916584).

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

65427016 is a wasteful number, since it uses less digits than its factorization.

65427016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 65427016 is about 8088.6968048011. The cubic root of 65427016 is about 402.9511236281.

The spelling of 65427016 in words is "sixty-five million, four hundred twenty-seven thousand, sixteen".

Divisors: 1 2 4 8 17 29 34 53 58 68 106 116 136 212 232 313 424 493 626 901 986 1252 1537 1802 1972 2504 3074 3604 3944 5321 6148 7208 9077 10642 12296 16589 18154 21284 26129 33178 36308 42568 52258 66356 72616 104516 132712 154309 209032 282013 308618 481081 564026 617236 962162 1128052 1234472 1924324 2256104 3848648 8178377 16356754 32713508 65427016