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54316801 = 71119137271
BaseRepresentation
bin1100111100110…
…0111100000001
310210012120122101
43033030330001
5102401114201
65220110401
71226454010
oct317147401
9123176571
1054316801
112872a020
1216235401
13b33a226
1472dca77
154b7dd01
hex33ccf01

54316801 has 32 divisors (see below), whose sum is σ = 72069120. Its totient is φ = 39657600.

The previous prime is 54316793. The next prime is 54316807. The reversal of 54316801 is 10861345.

54316801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 54316801 - 23 = 54316793 is a prime.

It is a deceptive number, since it divides R54316800.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54316801.

It is not an unprimeable number, because it can be changed into a prime (54316807) 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 31 ways as a sum of consecutive naturals, for example, 200296 + ... + 200566.

It is an arithmetic number, because the mean of its divisors is an integer number (2252160).

Almost surely, 254316801 is an apocalyptic number.

It is an amenable number.

54316801 is a deficient number, since it is larger than the sum of its proper divisors (17752319).

54316801 is a wasteful number, since it uses less digits than its factorization.

54316801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 54316801 is about 7369.9932835790. The cubic root of 54316801 is about 378.7140302119.

The spelling of 54316801 in words is "fifty-four million, three hundred sixteen thousand, eight hundred one".

Divisors: 1 7 11 19 77 133 137 209 271 959 1463 1507 1897 2603 2981 5149 10549 18221 20867 28633 36043 37127 56639 200431 259889 396473 408397 705413 2858779 4937891 7759543 54316801