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4899020049 = 34721121012
BaseRepresentation
bin1001001000000000…
…10001110100010001
3110122102101000010000
410210000101310101
540013122120144
62130043000213
7232254661200
oct44400216421
913572330100
104899020049
112094407300
12b48809069
13600c64041
143468d7237
151da15b769
hex124011d11

4899020049 has 135 divisors (see below), whose sum is σ = 9450952203. Its totient is φ = 2519748000.

The previous prime is 4899019997. The next prime is 4899020051. The reversal of 4899020049 is 9400209984.

The square root of 4899020049 is 69993.

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., 4706920449 + 192099600 = 68607^2 + 13860^2 .

It is not a de Polignac number, because 4899020049 - 219 = 4898495761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4899019986 and 4899020013.

It is not an unprimeable number, because it can be changed into a prime (4899020099) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48505099 + ... + 48505199.

Almost surely, 24899020049 is an apocalyptic number.

4899020049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4899020049 is the 69993-rd square number.

4899020049 is the 34997-th centered octagonal number.

It is an amenable number.

4899020049 is a deficient number, since it is larger than the sum of its proper divisors (4551932154).

4899020049 is a wasteful number, since it uses less digits than its factorization.

4899020049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 4899020049 is about 1698.3860170710.

Multiplying 4899020049 by its product of nonzero digits (186624), we get a square (914274717624576 = 302369762).

The spelling of 4899020049 in words is "four billion, eight hundred ninety-nine million, twenty thousand, forty-nine".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 101 121 147 189 231 297 303 363 441 539 567 693 707 847 891 909 1089 1111 1323 1617 2079 2121 2541 2727 3267 3333 3969 4851 4949 5929 6237 6363 7623 7777 8181 9801 9999 10201 12221 14553 14847 17787 19089 22869 23331 29997 30603 36663 43659 44541 53361 54439 57267 68607 69993 71407 85547 89991 91809 109989 112211 133623 160083 163317 209979 214221 256641 275427 329967 336633 400869 480249 489951 499849 598829 629937 642663 769923 785477 826281 989901 1009899 1234321 1469853 1499547 1796487 1927989 2309769 2356431 3029697 3702963 4409559 4498641 5389461 5498339 5783967 6929307 7069293 8640247 9089091 11108889 13495923 16168383 16495017 21207879 25920741 33326667 40487769 48505149 49485051 60481729 63623637 77762223 99980001 148455153 181445187 233286669 445365459 544335561 699860007 1633006683 4899020049