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56000601 = 32173111807
BaseRepresentation
bin1101010110100…
…0000001011001
310220101010101100
43111220001121
5103314004401
65320142013
71246666026
oct325500131
9126333340
1056000601
112967a098
1216907909
13b7a9767
14761a54d
154db2b86
hex3568059

56000601 has 24 divisors (see below), whose sum is σ = 88418304. Its totient is φ = 34001280.

The previous prime is 56000597. The next prime is 56000621. The reversal of 56000601 is 10600065.

56000601 is a `hidden beast` number, since 5 + 60 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 56000601 - 22 = 56000597 is a prime.

It is a super-2 number, since 2×560006012 = 6272134624722402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56000621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1161 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (3684096).

Almost surely, 256000601 is an apocalyptic number.

56000601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

56000601 is a deficient number, since it is larger than the sum of its proper divisors (32417703).

56000601 is a wasteful number, since it uses less digits than its factorization.

56000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861 (or 11858 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56000601 is about 7483.3549294417. The cubic root of 56000601 is about 382.5876052063.

Adding to 56000601 its reverse (10600065), we get a palindrome (66600666).

The spelling of 56000601 in words is "fifty-six million, six hundred one", and thus it is an aban number.

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 11807 35421 106263 200719 366017 602157 1098051 1806471 3294153 6222289 18666867 56000601