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54324768 = 2531733271
BaseRepresentation
bin1100111100111…
…0111000100000
310210012222120110
43033032320200
5102401343033
65220211320
71226516151
oct317167040
9123188513
1054324768
1128735003
1216239b40
13b340a44
147301928
154b81363
hex33cee20

54324768 has 48 divisors (see below), whose sum is σ = 143470656. Its totient is φ = 17998080.

The previous prime is 54324763. The next prime is 54324773. The reversal of 54324768 is 86742345.

It is a happy number.

54324768 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 (54324763) and next prime (54324773).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (54324761) 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, 14973 + ... + 18243.

It is an arithmetic number, because the mean of its divisors is an integer number (2988972).

Almost surely, 254324768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71735328).

54324768 is an abundant number, since it is smaller than the sum of its proper divisors (89145888).

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

54324768 is a wasteful number, since it uses less digits than its factorization.

54324768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 54324768 is about 7370.5337662886. The cubic root of 54324768 is about 378.7325454602.

The spelling of 54324768 in words is "fifty-four million, three hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 3271 4152 5536 6542 8304 9813 13084 16608 19626 26168 39252 52336 78504 104672 157008 314016 565883 1131766 1697649 2263532 3395298 4527064 6790596 9054128 13581192 18108256 27162384 54324768