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54414337 is a prime number
BaseRepresentation
bin1100111110010…
…0110000000001
310210101112102211
43033210300001
5102412224322
65222142121
71230341245
oct317446001
9123345384
1054414337
112879632a
1216281941
13b372743
147326425
154b9cb77
hex33e4c01

54414337 has 2 divisors, whose sum is σ = 54414338. Its totient is φ = 54414336.

The previous prime is 54414323. The next prime is 54414341. The reversal of 54414337 is 73341445.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54110736 + 303601 = 7356^2 + 551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54414337 is a prime.

It is a super-2 number, since 2×544143372 = 5921840142299138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54414299 and 54414308.

It is not a weakly prime, because it can be changed into another prime (54414377) 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, 27207168 + 27207169.

It is an arithmetic number, because the mean of its divisors is an integer number (27207169).

Almost surely, 254414337 is an apocalyptic number.

It is an amenable number.

54414337 is a deficient number, since it is larger than the sum of its proper divisors (1).

54414337 is an equidigital number, since it uses as much as digits as its factorization.

54414337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 31.

The square root of 54414337 is about 7376.6074180479. The cubic root of 54414337 is about 378.9405786778.

The spelling of 54414337 in words is "fifty-four million, four hundred fourteen thousand, three hundred thirty-seven".