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2990852046 = 233713837333
BaseRepresentation
bin1011001001000100…
…1100011111001110
321201102211000201000
42302101030133032
522111124231141
61212440201130
7134054552160
oct26221143716
97642730630
102990852046
1112a5292456
126b57691a6
13388830750
14205304930
151278885b6
hexb244c7ce

2990852046 has 128 divisors (see below), whose sum is σ = 8279792640. Its totient is φ = 779186304.

The previous prime is 2990852009. The next prime is 2990852071. The reversal of 2990852046 is 6402580992.

2990852046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29908520462 = 17890391922124772232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2990851992 and 2990852010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404196 + ... + 411528.

It is an arithmetic number, because the mean of its divisors is an integer number (64685880).

Almost surely, 22990852046 is an apocalyptic number.

2990852046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990852046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139896320).

2990852046 is an abundant number, since it is smaller than the sum of its proper divisors (5288940594).

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

2990852046 is a wasteful number, since it uses less digits than its factorization.

2990852046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2990852046 is about 54688.6829792051. The cubic root of 2990852046 is about 1440.7821185277.

The spelling of 2990852046 in words is "two billion, nine hundred ninety million, eight hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 83 91 117 126 166 182 189 234 249 273 351 378 498 546 581 702 747 819 1079 1162 1494 1638 1743 2158 2241 2457 3237 3486 4482 4914 5229 6474 7333 7553 9711 10458 14666 15106 15687 19422 21999 22659 29133 31374 43998 45318 51331 58266 65997 67977 95329 102662 131994 135954 153993 190658 197991 203931 285987 307986 395982 407862 461979 571974 608639 667303 857961 923958 1217278 1334606 1385937 1715922 1825917 2001909 2573883 2771874 3651834 4003818 4260473 5147766 5477751 6005727 7912307 8520946 10955502 12011454 12781419 15824614 16433253 18017181 23736921 25562838 32866506 36034362 38344257 47473842 55386149 71210763 76688514 110772298 115032771 142421526 166158447 213632289 230065542 332316894 427264578 498475341 996950682 1495426023 2990852046