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54905957 is a prime number
BaseRepresentation
bin1101000101110…
…0110001100101
310211022111210222
43101130301211
5103023442312
65240454125
71234456451
oct321346145
9124274728
1054905957
1128aa1727
121647a345
13b4b5442
147413661
154c48672
hex345cc65

54905957 has 2 divisors, whose sum is σ = 54905958. Its totient is φ = 54905956.

The previous prime is 54905927. The next prime is 54905959. The reversal of 54905957 is 75950945.

It is a happy number.

54905957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54848836 + 57121 = 7406^2 + 239^2 .

It is a cyclic number.

It is not a de Polignac number, because 54905957 - 28 = 54905701 is a prime.

It is a super-2 number, since 2×549059572 = 6029328228171698, which contains 22 as substring.

Together with 54905959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54905959) 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, 27452978 + 27452979.

It is an arithmetic number, because the mean of its divisors is an integer number (27452979).

Almost surely, 254905957 is an apocalyptic number.

It is an amenable number.

54905957 is a deficient number, since it is larger than the sum of its proper divisors (1).

54905957 is an equidigital number, since it uses as much as digits as its factorization.

54905957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 44.

The square root of 54905957 is about 7409.8553966997. The cubic root of 54905957 is about 380.0783702626.

The spelling of 54905957 in words is "fifty-four million, nine hundred five thousand, nine hundred fifty-seven".