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8538790050 = 2325277934313
BaseRepresentation
bin1111111001111001…
…11001100010100010
3211001002020110220100
413330330321202202
5114441412240200
63531143523230
7421412342430
oct77474714242
924032213810
108538790050
113691a1938a
1217a3759516
13a6105a0bb
145b0079d50
1534e976d00
hex1fcf398a2

8538790050 has 144 divisors (see below), whose sum is σ = 26550800640. Its totient is φ = 1926961920.

The previous prime is 8538790027. The next prime is 8538790063. The reversal of 8538790050 is 500978358.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8538789978 and 8538790005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231694 + ... + 266006.

It is an arithmetic number, because the mean of its divisors is an integer number (184380560).

Almost surely, 28538790050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8538790050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275400320).

8538790050 is an abundant number, since it is smaller than the sum of its proper divisors (18012010590).

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

8538790050 is a wasteful number, since it uses less digits than its factorization.

8538790050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 8538790050 is about 92405.5736955299. The cubic root of 8538790050 is about 2043.9273033059.

The spelling of 8538790050 in words is "eight billion, five hundred thirty-eight million, seven hundred ninety thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 79 90 105 126 150 158 175 210 225 237 315 350 395 450 474 525 553 630 711 790 1050 1106 1185 1422 1575 1659 1975 2370 2765 3150 3318 3555 3950 4977 5530 5925 7110 8295 9954 11850 13825 16590 17775 24885 27650 34313 35550 41475 49770 68626 82950 102939 124425 171565 205878 240191 248850 308817 343130 480382 514695 617634 720573 857825 1029390 1200955 1441146 1544085 1715650 2161719 2401910 2573475 2710727 3088170 3602865 4323438 5146950 5421454 6004775 7205730 7720425 8132181 10808595 12009550 13553635 15440850 16264362 18014325 18975089 21617190 24396543 27107270 36028650 37950178 40660905 48793086 54042975 56925267 67768175 81321810 94875445 108085950 113850534 121982715 135536350 170775801 189750890 203304525 243965430 284626335 341551602 406609050 474377225 569252670 609913575 853879005 948754450 1219827150 1423131675 1707758010 2846263350 4269395025 8538790050