Search a number
-
+
54249768 = 23322692801
BaseRepresentation
bin1100111011110…
…0100100101000
310210002011200200
43032330210220
5102341443033
65214432200
71226054406
oct316744450
9123064620
1054249768
1128693721
1216202660
13b315871
1472c2476
154b69013
hex33bc928

54249768 has 48 divisors (see below), whose sum is σ = 147525300. Its totient is φ = 18009600.

The previous prime is 54249763. The next prime is 54249773. The reversal of 54249768 is 86794245.

It is a happy number.

54249768 is a `hidden beast` number, since 542 + 49 + 7 + 68 = 666.

54249768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54249763) and next prime (54249773).

It can be written as a sum of positive squares in 2 ways, for example, as 50722884 + 3526884 = 7122^2 + 1878^2 .

It is not an unprimeable number, because it can be changed into a prime (54249763) 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 11 ways as a sum of consecutive naturals, for example, 17968 + ... + 20768.

Almost surely, 254249768 is an apocalyptic number.

It is an amenable number.

54249768 is an abundant number, since it is smaller than the sum of its proper divisors (93275532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54249768 is a wasteful number, since it uses less digits than its factorization.

54249768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3075 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54249768 is about 7365.4441821251. Note that the first 3 decimals coincide. The cubic root of 54249768 is about 378.5581742736.

The spelling of 54249768 in words is "fifty-four million, two hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1076 1614 2152 2421 2801 3228 4842 5602 6456 8403 9684 11204 16806 19368 22408 25209 33612 50418 67224 100836 201672 753469 1506938 2260407 3013876 4520814 6027752 6781221 9041628 13562442 18083256 27124884 54249768