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67057561 = 5310131249
BaseRepresentation
bin1111111111001…
…1011110011001
311200011212200101
43333303132121
5114131320221
610353135401
71442660044
oct377633631
9150155611
1067057561
113494137a
121a55a561
1310b7b43c
148c97c5b
155d48d91
hex3ff3799

67057561 has 8 divisors (see below), whose sum is σ = 68445000. Its totient is φ = 65674752.

The previous prime is 67057531. The next prime is 67057577. The reversal of 67057561 is 16575076.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 66504025 = 744^2 + 8155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67057561 - 213 = 67049369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67057561.

It is not an unprimeable number, because it can be changed into a prime (67057531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53065 + ... + 54313.

It is an arithmetic number, because the mean of its divisors is an integer number (8555625).

Almost surely, 267057561 is an apocalyptic number.

It is an amenable number.

67057561 is a deficient number, since it is larger than the sum of its proper divisors (1387439).

67057561 is a wasteful number, since it uses less digits than its factorization.

67057561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 67057561 is about 8188.8681147030. The cubic root of 67057561 is about 406.2710885778.

The spelling of 67057561 in words is "sixty-seven million, fifty-seven thousand, five hundred sixty-one".

Divisors: 1 53 1013 1249 53689 66197 1265237 67057561