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4775086404 = 22341123492
BaseRepresentation
bin1000111001001111…
…00000100101000100
3110022210011112010000
410130213200211010
534234410231104
62105454401300
7226221364464
oct43447404504
913283145100
104775086404
112030459100
12b13200230
135b139081a
14334275ba4
151ce32a639
hex11c9e0944

4775086404 has 135 divisors (see below), whose sum is σ = 13760432301. Its totient is φ = 1442849760.

The previous prime is 4775086343. The next prime is 4775086409. The reversal of 4775086404 is 4046805774.

The square root of 4775086404 is 69102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3504876804 + 1270209600 = 59202^2 + 35640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4775086404.

It is not an unprimeable number, because it can be changed into a prime (4775086409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13682022 + ... + 13682370.

Almost surely, 24775086404 is an apocalyptic number.

4775086404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4775086404 is the 69102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4775086404

4775086404 is an abundant number, since it is smaller than the sum of its proper divisors (8985345897).

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

4775086404 is a wasteful number, since it uses less digits than its factorization.

4775086404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The cubic root of 4775086404 is about 1683.9418027443.

The spelling of 4775086404 in words is "four billion, seven hundred seventy-five million, eighty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 349 363 396 484 594 698 726 891 1047 1089 1188 1396 1452 1782 2094 2178 3141 3267 3564 3839 4188 4356 6282 6534 7678 9423 9801 11517 12564 13068 15356 18846 19602 23034 28269 34551 37692 39204 42229 46068 56538 69102 84458 103653 113076 121801 126687 138204 168916 207306 243602 253374 310959 365403 380061 414612 487204 506748 621918 730806 760122 1096209 1140183 1243836 1339811 1461612 1520244 2192418 2280366 2679622 3288627 3420549 4019433 4384836 4560732 5359244 6577254 6841098 8038866 9865881 12058299 13154508 13682196 14737921 16077732 19731762 24116598 29475842 36174897 39463524 44213763 48233196 58951684 72349794 88427526 108524691 132641289 144699588 176855052 217049382 265282578 397923867 434098764 530565156 795847734 1193771601 1591695468 2387543202 4775086404