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4890759580 = 22572171631801
BaseRepresentation
bin1001000111000001…
…10001000110011100
3110121211211022212201
410203200301012130
540004013301310
62125145541244
7232124525200
oct44340610634
913554738781
104890759580
11208a785073
12b45aa4824
135cc3311a5
14345786b00
151d9578e3a
hex12383119c

4890759580 has 144 divisors (see below), whose sum is σ = 12734892576. Its totient is φ = 1567641600.

The previous prime is 4890759553. The next prime is 4890759589. The reversal of 4890759580 is 859570984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4890759589) 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 47 ways as a sum of consecutive naturals, for example, 2714680 + ... + 2716480.

It is an arithmetic number, because the mean of its divisors is an integer number (88436754).

Almost surely, 24890759580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4890759580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367446288).

4890759580 is an abundant number, since it is smaller than the sum of its proper divisors (7844132996).

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

4890759580 is a wasteful number, since it uses less digits than its factorization.

4890759580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The square root of 4890759580 is about 69933.9658535107. The cubic root of 4890759580 is about 1697.4309037663.

The spelling of 4890759580 in words is "four billion, eight hundred ninety million, seven hundred fifty-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 163 170 196 238 245 326 340 476 490 595 652 815 833 980 1141 1190 1630 1666 1801 2282 2380 2771 3260 3332 3602 4165 4564 5542 5705 7204 7987 8330 9005 11084 11410 12607 13855 15974 16660 18010 19397 22820 25214 27710 30617 31948 36020 38794 39935 50428 55420 61234 63035 77588 79870 88249 96985 122468 126070 135779 153085 159740 176498 193970 214319 252140 271558 293563 306170 352996 387940 428638 441245 543116 587126 612340 678895 857276 882490 1071595 1174252 1357790 1467815 1500233 1764980 2054941 2143190 2715580 2935630 3000466 4109882 4286380 4990571 5871260 6000932 7501165 8219764 9981142 10274705 14384587 15002330 19962284 20549410 24952855 28769174 30004660 34933997 41098820 49905710 57538348 69867994 71922935 99811420 139735988 143845870 174669985 244537979 287691740 349339970 489075958 698679940 978151916 1222689895 2445379790 4890759580