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54144096 = 2537512
BaseRepresentation
bin1100111010001…
…0110001100000
310202212210201220
43032202301200
5102330102341
65212255040
71225134336
oct316426140
9122783656
1054144096
1128621296
1216171480
13b2a9736
147295b56
154b47a66
hex33a2c60

54144096 has 36 divisors (see below), whose sum is σ = 142317756. Its totient is φ = 18024000.

The previous prime is 54144089. The next prime is 54144109. The reversal of 54144096 is 69044145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71721 + ... + 72471.

It is an arithmetic number, because the mean of its divisors is an integer number (3953271).

Almost surely, 254144096 is an apocalyptic number.

It is an amenable number.

54144096 is an abundant number, since it is smaller than the sum of its proper divisors (88173660).

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

54144096 is an frugal number, since it uses more digits than its factorization.

54144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54144096 is about 7358.2671873207. The cubic root of 54144096 is about 378.3122192973.

The spelling of 54144096 in words is "fifty-four million, one hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 751 1502 2253 3004 4506 6008 9012 12016 18024 24032 36048 72096 564001 1128002 1692003 2256004 3384006 4512008 6768012 9024016 13536024 18048032 27072048 54144096