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56401 is a prime number
BaseRepresentation
bin1101110001010001
32212100221
431301101
53301101
61113041
7323302
oct156121
985327
1056401
1139414
1228781
131c897
14167a9
1511aa1
hexdc51

56401 has 2 divisors, whose sum is σ = 56402. Its totient is φ = 56400.

The previous prime is 56393. The next prime is 56417. The reversal of 56401 is 10465.

56401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (56417) can be obtained adding 56401 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 5776 = 225^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 56401 - 23 = 56393 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (56431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28200 + 28201.

It is an arithmetic number, because the mean of its divisors is an integer number (28201).

256401 is an apocalyptic number.

It is an amenable number.

56401 is a deficient number, since it is larger than the sum of its proper divisors (1).

56401 is an equidigital number, since it uses as much as digits as its factorization.

56401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 56401 is about 237.4889471112. The cubic root of 56401 is about 38.3497262380.

Adding to 56401 its reverse (10465), we get a palindrome (66866).

The spelling of 56401 in words is "fifty-six thousand, four hundred one".