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8028539046 = 2341129337461
BaseRepresentation
bin1110111101000100…
…11100100010100110
3202201112010001010000
413132202130202212
5112420301222141
63404355242130
7402645312243
oct73642344246
922645101100
108028539046
11344a9a0240
1216808a9346
139ac426128
145623b65ca
1531ec865b6
hex1de89c8a6

8028539046 has 160 divisors (see below), whose sum is σ = 20406466080. Its totient is φ = 2336947200.

The previous prime is 8028539041. The next prime is 8028539081. The reversal of 8028539046 is 6409358208.

It is a junction number, because it is equal to n+sod(n) for n = 8028538992 and 8028539010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028539041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17415256 + ... + 17415716.

It is an arithmetic number, because the mean of its divisors is an integer number (127540413).

Almost surely, 28028539046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8028539046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203233040).

8028539046 is an abundant number, since it is smaller than the sum of its proper divisors (12377927034).

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

8028539046 is a wasteful number, since it uses less digits than its factorization.

8028539046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8028539046 is about 89602.1151870870. The cubic root of 8028539046 is about 2002.3754313792.

The spelling of 8028539046 in words is "eight billion, twenty-eight million, five hundred thirty-nine thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 337 461 522 594 638 674 783 891 922 957 1011 1383 1566 1782 1914 2022 2349 2766 2871 3033 3707 4149 4698 5071 5742 6066 7414 8298 8613 9099 9773 10142 11121 12447 13369 15213 17226 18198 19546 22242 24894 25839 26738 27297 29319 30426 33363 37341 40107 45639 51678 54594 58638 66726 74682 80214 87957 91278 100089 107503 120321 136917 147059 155357 175914 200178 215006 240642 263871 273834 294118 300267 310714 322509 360963 410751 441177 466071 527742 600534 645018 721926 791613 821502 882354 932142 967527 1082889 1323531 1398213 1583226 1708927 1935054 2165778 2647062 2796426 2902581 3417854 3970593 4194639 4505353 5126781 5805162 7941186 8389278 8707743 9010706 10253562 11911779 12583917 13516059 15380343 17415486 23823558 25167834 27032118 30760686 40548177 46141029 49558883 81096354 92282058 99117766 121644531 138423087 148676649 243289062 276846174 297353298 364933593 446029947 729867186 892059894 1338089841 2676179682 4014269523 8028539046