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54041316 = 22372731259
BaseRepresentation
bin1100111000100…
…1101011100100
310202200120202020
43032021223210
5102313310231
65210143140
71224225600
oct316115344
9122616666
1054041316
112856104a
1216121ab0
13b271a14
14726a500
154b27396
hex3389ae4

54041316 has 72 divisors (see below), whose sum is σ = 148811040. Its totient is φ = 15216768.

The previous prime is 54041279. The next prime is 54041327. The reversal of 54041316 is 61314045.

54041316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 42295 + ... + 43553.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 254041316 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 54041316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74405520).

54041316 is an abundant number, since it is smaller than the sum of its proper divisors (94769724).

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

54041316 is a wasteful number, since it uses less digits than its factorization.

54041316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54041316 is about 7351.2798885636. The cubic root of 54041316 is about 378.0726883533.

The spelling of 54041316 in words is "fifty-four million, forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1259 1533 2044 2518 3066 3577 3777 5036 6132 7154 7554 8813 10731 14308 15108 17626 21462 26439 35252 42924 52878 61691 91907 105756 123382 183814 185073 246764 275721 367628 370146 551442 643349 740292 1102884 1286698 1930047 2573396 3860094 4503443 7720188 9006886 13510329 18013772 27020658 54041316