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67082401 = 731815077
BaseRepresentation
bin1111111111100…
…1100010100001
311200020010202101
43333321202201
5114133114101
610353450401
71443122341
oct377714241
9150203671
1067082401
1134959001
121a570a01
1310b89839
148ca2d21
155d51401
hex3ff98a1

67082401 has 8 divisors (see below), whose sum is σ = 68390504. Its totient is φ = 65784960.

The previous prime is 67082399. The next prime is 67082417. The reversal of 67082401 is 10428076.

It can be written as a sum of positive squares in 4 ways, for example, as 9928801 + 57153600 = 3151^2 + 7560^2 .

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 67082401 - 21 = 67082399 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 67082401.

It is not an unprimeable number, because it can be changed into a prime (67082101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10675 + ... + 15751.

It is an arithmetic number, because the mean of its divisors is an integer number (8548813).

Almost surely, 267082401 is an apocalyptic number.

It is an amenable number.

67082401 is a deficient number, since it is larger than the sum of its proper divisors (1308103).

67082401 is a wasteful number, since it uses less digits than its factorization.

67082401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 67082401 is about 8190.3846674012. The cubic root of 67082401 is about 406.3212471175.

The spelling of 67082401 in words is "sixty-seven million, eighty-two thousand, four hundred one".

Divisors: 1 73 181 5077 13213 370621 918937 67082401