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56011500 = 223553461
BaseRepresentation
bin1101010110101…
…0101011101100
310220101200100000
43111222223230
5103314332000
65320304300
71250042556
oct325525354
9126350300
1056011500
11296872a6
1216912090
13b7b16cc
1476204d6
154db6000
hex356aaec

56011500 has 144 divisors (see below), whose sum is σ = 183639456. Its totient is φ = 14904000.

The previous prime is 56011493. The next prime is 56011517. The reversal of 56011500 is 511065.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121270 + ... + 121730.

It is an arithmetic number, because the mean of its divisors is an integer number (1275274).

Almost surely, 256011500 is an apocalyptic number.

56011500 is a gapful number since it is divisible by the number (50) 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 56011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91819728).

56011500 is an abundant number, since it is smaller than the sum of its proper divisors (127627956).

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

56011500 is a wasteful number, since it uses less digits than its factorization.

56011500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 56011500 is about 7484.0831101746. The cubic root of 56011500 is about 382.6124237008.

Adding to 56011500 its reverse (511065), we get a palindrome (56522565).

The spelling of 56011500 in words is "fifty-six million, eleven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 461 486 500 540 675 750 810 900 922 972 1125 1215 1350 1383 1500 1620 1844 2025 2250 2305 2430 2700 2766 3375 4050 4149 4500 4610 4860 5532 6075 6750 6915 8100 8298 9220 10125 11525 12150 12447 13500 13830 16596 20250 20745 23050 24300 24894 27660 30375 34575 37341 40500 41490 46100 49788 57625 60750 62235 69150 74682 82980 103725 112023 115250 121500 124470 138300 149364 172875 186705 207450 224046 230500 248940 311175 345750 373410 414900 448092 518625 560115 622350 691500 746820 933525 1037250 1120230 1244700 1555875 1867050 2074500 2240460 2800575 3111750 3734100 4667625 5601150 6223500 9335250 11202300 14002875 18670500 28005750 56011500