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67081441 = 721369009
BaseRepresentation
bin1111111111100…
…1010011100001
311200020002102211
43333321103201
5114133101231
610353442121
71443116500
oct377712341
9150202384
1067081441
1134958309
121a570341
1310b8927b
148ca2837
155d50eb1
hex3ff94e1

67081441 has 6 divisors (see below), whose sum is σ = 78033570. Its totient is φ = 57498336.

The previous prime is 67081429. The next prime is 67081459. The reversal of 67081441 is 14418076.

It can be written as a sum of positive squares in only one way, i.e., 65934400 + 1147041 = 8120^2 + 1071^2 .

It is not a de Polignac number, because 67081441 - 211 = 67079393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67081741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 684456 + ... + 684553.

It is an arithmetic number, because the mean of its divisors is an integer number (13005595).

Almost surely, 267081441 is an apocalyptic number.

It is an amenable number.

67081441 is a deficient number, since it is larger than the sum of its proper divisors (10952129).

67081441 is a wasteful number, since it uses less digits than its factorization.

67081441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369023 (or 1369016 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 67081441 is about 8190.3260618854. The cubic root of 67081441 is about 406.3193088533.

It can be divided in two parts, 67081 and 441, that multiplied together give a square (29582721 = 54392).

The spelling of 67081441 in words is "sixty-seven million, eighty-one thousand, four hundred forty-one".

Divisors: 1 7 49 1369009 9583063 67081441