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56400481 is a prime number
BaseRepresentation
bin1101011100100…
…1101001100001
310221010102220201
43113021221201
5103414303411
65332505201
71253252614
oct327115141
9127112821
1056400481
1129922575
1216a7b201
13b8b9787
1476c217b
154e413c1
hex35c9a61

56400481 has 2 divisors, whose sum is σ = 56400482. Its totient is φ = 56400480.

The previous prime is 56400467. The next prime is 56400497. The reversal of 56400481 is 18400465.

56400481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32547025 + 23853456 = 5705^2 + 4884^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56400481 is a prime.

It is a super-2 number, since 2×564004812 = 6362028514062722, which contains 22 as substring.

It is equal to p3360808 and since 56400481 and 3360808 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (56400451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28200240 + 28200241.

It is an arithmetic number, because the mean of its divisors is an integer number (28200241).

Almost surely, 256400481 is an apocalyptic number.

It is an amenable number.

56400481 is a deficient number, since it is larger than the sum of its proper divisors (1).

56400481 is an equidigital number, since it uses as much as digits as its factorization.

56400481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 56400481 is about 7510.0253661356. The cubic root of 56400481 is about 383.4960860674.

The spelling of 56400481 in words is "fifty-six million, four hundred thousand, four hundred eighty-one".