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54635953 is a prime number
BaseRepresentation
bin1101000001101…
…0110110110001
310210210210102211
43100122312301
5102441322303
65231012121
71232253331
oct320326661
9123723384
1054635953
1128927889
121636a041
13b41c588
1473830c1
154be366d
hex341adb1

54635953 has 2 divisors, whose sum is σ = 54635954. Its totient is φ = 54635952.

The previous prime is 54635941. The next prime is 54635957. The reversal of 54635953 is 35953645.

It is a happy number.

54635953 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., 36759969 + 17875984 = 6063^2 + 4228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54635953 is a prime.

It is not a weakly prime, because it can be changed into another prime (54635957) 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, 27317976 + 27317977.

It is an arithmetic number, because the mean of its divisors is an integer number (27317977).

Almost surely, 254635953 is an apocalyptic number.

It is an amenable number.

54635953 is a deficient number, since it is larger than the sum of its proper divisors (1).

54635953 is an equidigital number, since it uses as much as digits as its factorization.

54635953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243000, while the sum is 40.

The square root of 54635953 is about 7391.6136939101. The cubic root of 54635953 is about 379.4543252887.

The spelling of 54635953 in words is "fifty-four million, six hundred thirty-five thousand, nine hundred fifty-three".