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4759059426 = 231131711812
BaseRepresentation
bin1000110111010100…
…10111101111100010
3110021200000021020020
410123222113233202
534221304400201
62104123054310
7225635223552
oct43352275742
913250007206
104759059426
112022401870
12b09971396
135aac6b8c4
143320a3162
151ccc11a36
hex11ba97be2

4759059426 has 96 divisors (see below), whose sum is σ = 10929696768. Its totient is φ = 1368360000.

The previous prime is 4759059419. The next prime is 4759059439. The reversal of 4759059426 is 6249509574.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 26293056 + ... + 26293236.

It is an arithmetic number, because the mean of its divisors is an integer number (113851008).

Almost surely, 24759059426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4759059426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464848384).

4759059426 is an abundant number, since it is smaller than the sum of its proper divisors (6170637342).

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

4759059426 is a wasteful number, since it uses less digits than its factorization.

4759059426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The square root of 4759059426 is about 68985.9364363491. The cubic root of 4759059426 is about 1682.0557112777.

The spelling of 4759059426 in words is "four billion, seven hundred fifty-nine million, fifty-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 93 142 181 186 213 341 362 426 543 682 781 1023 1086 1562 1991 2046 2201 2343 3982 4402 4686 5611 5973 6603 11222 11946 12851 13206 16833 24211 25702 32761 33666 38553 48422 61721 65522 72633 77106 98283 123442 141361 145266 185163 196566 282722 360371 370326 398381 424083 720742 796762 848166 1015591 1081113 1195143 2031182 2162226 2326031 2390286 3046773 4382191 4652062 6093546 6978093 8764382 11171501 13146573 13956186 22343002 25586341 26293146 33514503 51172682 67029006 72106961 76759023 144213922 153518046 216320883 432641766 793176571 1586353142 2379529713 4759059426