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54891648 = 273372269
BaseRepresentation
bin1101000101100…
…1010010000000
310211021210012000
43101121102000
5103023013043
65240304000
71234366650
oct321312200
9124253160
1054891648
1128a919a9
1216472000
13b4aba86
14740c360
154c442d3
hex3459480

54891648 has 128 divisors (see below), whose sum is σ = 185232000. Its totient is φ = 15676416.

The previous prime is 54891611. The next prime is 54891659. The reversal of 54891648 is 84619845.

54891648 is a `hidden beast` number, since 5 + 489 + 164 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23058 + ... + 25326.

It is an arithmetic number, because the mean of its divisors is an integer number (1447125).

Almost surely, 254891648 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 54891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92616000).

54891648 is an abundant number, since it is smaller than the sum of its proper divisors (130340352).

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

54891648 is a wasteful number, since it uses less digits than its factorization.

54891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2281 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54891648 is about 7408.8897953742. The cubic root of 54891648 is about 380.0453500816.

The spelling of 54891648 in words is "fifty-four million, eight hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2269 2688 3024 3456 4032 4538 6048 6807 8064 9076 12096 13614 15883 18152 20421 24192 27228 31766 36304 40842 47649 54456 61263 63532 72608 81684 95298 108912 122526 127064 142947 145216 163368 190596 217824 245052 254128 285894 290432 326736 381192 428841 435648 490104 508256 571788 653472 762384 857682 871296 980208 1016512 1143576 1306944 1524768 1715364 1960416 2033024 2287152 2613888 3049536 3430728 3920832 4574304 6099072 6861456 7841664 9148608 13722912 18297216 27445824 54891648