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54305819 = 1923911959
BaseRepresentation
bin1100111100101…
…0010000011011
310210012000120122
43033022100123
5102400241234
65215543455
71226410001
oct317122033
9123160518
1054305819
1128721847
121622ab8b
13b335229
1472d8a71
154b7a92e
hex33ca41b

54305819 has 8 divisors (see below), whose sum is σ = 57408000. Its totient is φ = 51228072.

The previous prime is 54305807. The next prime is 54305833. The reversal of 54305819 is 91850345.

54305819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 54305819 - 216 = 54240283 is a prime.

It is a super-2 number, since 2×543058192 = 5898243954521522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54305869) 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 in 7 ways as a sum of consecutive naturals, for example, 1439 + ... + 10520.

It is an arithmetic number, because the mean of its divisors is an integer number (7176000).

Almost surely, 254305819 is an apocalyptic number.

54305819 is a deficient number, since it is larger than the sum of its proper divisors (3102181).

54305819 is a wasteful number, since it uses less digits than its factorization.

54305819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12217.

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 54305819 is about 7369.2481977472. The cubic root of 54305819 is about 378.6885051580.

The spelling of 54305819 in words is "fifty-four million, three hundred five thousand, eight hundred nineteen".

Divisors: 1 19 239 4541 11959 227221 2858201 54305819