Search a number
-
+
54601369 is a prime number
BaseRepresentation
bin1101000001001…
…0011010011001
310210202000222221
43100102122121
5102434220434
65230144041
71232050444
oct320223231
9123660887
1054601369
11289038a9
1216352021
13b409904
14737465b
154bd82b4
hex3412699

54601369 has 2 divisors, whose sum is σ = 54601370. Its totient is φ = 54601368.

The previous prime is 54601319. The next prime is 54601423. The reversal of 54601369 is 96310645.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38601369 + 16000000 = 6213^2 + 4000^2 .

It is a cyclic number.

It is not a de Polignac number, because 54601369 - 215 = 54568601 is a prime.

It is a super-3 number, since 3×546013693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (54601319) 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 as a sum of consecutive naturals, namely, 27300684 + 27300685.

It is an arithmetic number, because the mean of its divisors is an integer number (27300685).

Almost surely, 254601369 is an apocalyptic number.

It is an amenable number.

54601369 is a deficient number, since it is larger than the sum of its proper divisors (1).

54601369 is an equidigital number, since it uses as much as digits as its factorization.

54601369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 54601369 is about 7389.2739156158. The cubic root of 54601369 is about 379.3742448194.

The spelling of 54601369 in words is "fifty-four million, six hundred one thousand, three hundred sixty-nine".