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54018216 = 23327195641
BaseRepresentation
bin1100111000010…
…0000010101000
310202122102001200
43032010002220
5102312040331
65205444200
71224101340
oct316040250
9122572050
1054018216
112854575a
1216110660
13b264355
147261d20
154b205e6
hex33840a8

54018216 has 96 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 14618880.

The previous prime is 54018203. The next prime is 54018221. The reversal of 54018216 is 61281045.

It is a self number, because there is not a number n which added to its sum of digits gives 54018216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6756 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (1833650).

Almost surely, 254018216 is an apocalyptic number.

54018216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54018216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

54018216 is an abundant number, since it is smaller than the sum of its proper divisors (122012184).

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

54018216 is a wasteful number, since it uses less digits than its factorization.

54018216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 54018216 is about 7349.7085656507. The cubic root of 54018216 is about 378.0188115271.

The spelling of 54018216 in words is "fifty-four million, eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 5641 9576 11282 16923 22564 33846 39487 45128 50769 67692 78974 101538 107179 118461 135384 157948 203076 214358 236922 315896 321537 355383 406152 428716 473844 643074 710766 750253 857432 947688 964611 1286148 1421532 1500506 1929222 2250759 2572296 2843064 3001012 3858444 4501518 6002024 6752277 7716888 9003036 13504554 18006072 27009108 54018216