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54657049 is a prime number
BaseRepresentation
bin1101000010000…
…0000000011001
310210211212101011
43100200000121
5102443011144
65231253521
71232401666
oct320400031
9123755334
1054657049
1128941717
121637a2a1
13b429065
14738aa6d
154be9a34
hex3420019

54657049 has 2 divisors, whose sum is σ = 54657050. Its totient is φ = 54657048.

The previous prime is 54657047. The next prime is 54657073. The reversal of 54657049 is 94075645.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45657049 + 9000000 = 6757^2 + 3000^2 .

It is a cyclic number.

It is not a de Polignac number, because 54657049 - 21 = 54657047 is a prime.

It is a super-3 number, since 3×546570493 (a number of 24 digits) contains 333 as substring.

Together with 54657047, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (54657041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27328524 + 27328525.

It is an arithmetic number, because the mean of its divisors is an integer number (27328525).

Almost surely, 254657049 is an apocalyptic number.

It is an amenable number.

54657049 is a deficient number, since it is larger than the sum of its proper divisors (1).

54657049 is an equidigital number, since it uses as much as digits as its factorization.

54657049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 54657049 is about 7393.0405788146. The cubic root of 54657049 is about 379.5031572265.

The spelling of 54657049 in words is "fifty-four million, six hundred fifty-seven thousand, forty-nine".