Search a number
-
+
4882882884 = 22311219379467
BaseRepresentation
bin1001000110000101…
…01110000101000100
3110121022000011002020
410203002232011010
540000004223014
62124305043140
7232000551105
oct44302560504
913538004066
104882882884
112086295200
12b433264b0
135ca803c19
143446d63ac
151d8a201a9
hex1230ae144

4882882884 has 144 divisors (see below), whose sum is σ = 13245523200. Its totient is φ = 1395092160.

The previous prime is 4882882871. The next prime is 4882882891.

4882882884 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10455619 + ... + 10456085.

It is an arithmetic number, because the mean of its divisors is an integer number (91982800).

Almost surely, 24882882884 is an apocalyptic number.

4882882884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882882884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622761600).

4882882884 is an abundant number, since it is smaller than the sum of its proper divisors (8362640316).

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

4882882884 is a wasteful number, since it uses less digits than its factorization.

4882882884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 60.

The square root of 4882882884 is about 69877.6279219608. The cubic root of 4882882884 is about 1696.5191618663.

The spelling of 4882882884 in words is "four billion, eight hundred eighty-two million, eight hundred eighty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 121 132 209 228 242 363 379 418 467 484 627 726 758 836 934 1137 1254 1401 1452 1516 1868 2274 2299 2508 2802 4169 4548 4598 5137 5604 6897 7201 8338 8873 9196 10274 12507 13794 14402 15411 16676 17746 20548 21603 25014 26619 27588 28804 30822 35492 43206 45859 50028 53238 56507 61644 79211 86412 91718 97603 106476 113014 137577 158422 169521 176993 183436 195206 226028 237633 275154 292809 316844 339042 353986 390412 475266 530979 550308 585618 678084 707972 871321 950532 1061958 1073633 1171236 1742642 1946923 2123916 2147266 2613963 3220899 3362867 3485284 3893846 4294532 5227926 5840769 6441798 6725734 7787692 10088601 10455852 11681538 12883596 13451468 20177202 21416153 23363076 36991537 40354404 42832306 64248459 73983074 85664612 110974611 128496918 147966148 221949222 256993836 406906907 443898444 813813814 1220720721 1627627628 2441441442 4882882884