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54836401 is a prime number
BaseRepresentation
bin1101000100101…
…1110010110001
310211011222101211
43101023302301
5103014231101
65235200121
71234046614
oct321136261
9124158354
1054836401
1128a54444
1216446041
13b48c899
1473d617b
154c32c51
hex344bcb1

54836401 has 2 divisors, whose sum is σ = 54836402. Its totient is φ = 54836400.

The previous prime is 54836389. The next prime is 54836423. The reversal of 54836401 is 10463845.

It is a happy number.

54836401 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., 43546801 + 11289600 = 6599^2 + 3360^2 .

It is a cyclic number.

It is not a de Polignac number, because 54836401 - 215 = 54803633 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (54836461) 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, 27418200 + 27418201.

It is an arithmetic number, because the mean of its divisors is an integer number (27418201).

Almost surely, 254836401 is an apocalyptic number.

It is an amenable number.

54836401 is a deficient number, since it is larger than the sum of its proper divisors (1).

54836401 is an equidigital number, since it uses as much as digits as its factorization.

54836401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 54836401 is about 7405.1604304026. The cubic root of 54836401 is about 379.9178053988.

The spelling of 54836401 in words is "fifty-four million, eight hundred thirty-six thousand, four hundred one".