Search a number
-
+
54546381 = 3253173661
BaseRepresentation
bin1101000000010…
…0111111001101
310210122020120100
43100010333031
5102430441011
65225041313
71231431231
oct320047715
9123566510
1054546381
112887655a
1216326239
13b3ba886
14735c5c1
154bc6d56
hex3404fcd

54546381 has 24 divisors (see below), whose sum is σ = 80861976. Its totient is φ = 35418240.

The previous prime is 54546379. The next prime is 54546407. The reversal of 54546381 is 18364545.

It is a happy number.

54546381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33698025 + 20848356 = 5805^2 + 4566^2 .

It is not a de Polignac number, because 54546381 - 21 = 54546379 is a prime.

It is a super-2 number, since 2×545463812 = 5950615360394322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54546281) 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 23 ways as a sum of consecutive naturals, for example, 82191 + ... + 82851.

It is an arithmetic number, because the mean of its divisors is an integer number (3369249).

Almost surely, 254546381 is an apocalyptic number.

It is an amenable number.

54546381 is a deficient number, since it is larger than the sum of its proper divisors (26315595).

54546381 is a wasteful number, since it uses less digits than its factorization.

54546381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 890 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 54546381 is about 7385.5521797629. The cubic root of 54546381 is about 379.2468485154.

The spelling of 54546381 in words is "fifty-four million, five hundred forty-six thousand, three hundred eighty-one".

Divisors: 1 3 9 53 159 173 477 519 661 1557 1983 5949 9169 27507 35033 82521 105099 114353 315297 343059 1029177 6060709 18182127 54546381