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54217344 = 273271521
BaseRepresentation
bin1100111011010…
…0101010000000
310210000112012210
43032310222000
5102334423334
65214022120
71225561026
oct316645200
9123015183
1054217344
1128671325
12161a7940
13b303b8c
1472b4716
154b5e5e9
hex33b4a80

54217344 has 64 divisors (see below), whose sum is σ = 144823680. Its totient is φ = 17971200.

The previous prime is 54217337. The next prime is 54217379. The reversal of 54217344 is 44371245.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 103804 + ... + 104324.

It is an arithmetic number, because the mean of its divisors is an integer number (2262870).

Almost surely, 254217344 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 54217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72411840).

54217344 is an abundant number, since it is smaller than the sum of its proper divisors (90606336).

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

54217344 is a wasteful number, since it uses less digits than its factorization.

54217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 54217344 is about 7363.2427638915. The cubic root of 54217344 is about 378.4827403631.

Adding to 54217344 its reverse (44371245), we get a palindrome (98588589).

The spelling of 54217344 in words is "fifty-four million, two hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 521 542 813 1042 1084 1563 1626 2084 2168 3126 3252 4168 4336 6252 6504 8336 8672 12504 13008 16672 17344 25008 26016 33344 34688 50016 52032 66688 100032 104064 141191 200064 282382 423573 564764 847146 1129528 1694292 2259056 3388584 4518112 6777168 9036224 13554336 18072448 27108672 54217344