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54842208 = 25319107281
BaseRepresentation
bin1101000100110…
…1001101100000
310211012021100220
43101031031200
5103014422313
65235243040
71234102551
oct321151540
9124167326
1054842208
1128a58843
1216449480
13b492415
1473d8328
154c34823
hex344d360

54842208 has 96 divisors (see below), whose sum is σ = 153498240. Its totient is φ = 17095680.

The previous prime is 54842197. The next prime is 54842237. The reversal of 54842208 is 80224845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 195028 + ... + 195308.

It is an arithmetic number, because the mean of its divisors is an integer number (1598940).

Almost surely, 254842208 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 54842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76749120).

54842208 is an abundant number, since it is smaller than the sum of its proper divisors (98656032).

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

54842208 is a wasteful number, since it uses less digits than its factorization.

54842208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 54842208 is about 7405.5525114606. The cubic root of 54842208 is about 379.9312156202.

The spelling of 54842208 in words is "fifty-four million, eight hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 107 114 152 214 228 281 304 321 428 456 562 608 642 843 856 912 1124 1284 1686 1712 1824 2033 2248 2568 3372 3424 4066 4496 5136 5339 6099 6744 8132 8992 10272 10678 12198 13488 16017 16264 21356 24396 26976 30067 32034 32528 42712 48792 60134 64068 65056 85424 90201 97584 120268 128136 170848 180402 195168 240536 256272 360804 481072 512544 571273 721608 962144 1142546 1443216 1713819 2285092 2886432 3427638 4570184 6855276 9140368 13710552 18280736 27421104 54842208