Search a number
-
+
3941024490 = 2335131766047
BaseRepresentation
bin1110101011100111…
…0100001011101010
3101011122201210021000
43222321310023222
531032400240430
61451021455430
7166443104214
oct35271641352
911148653230
103941024490
111742673037
1291ba11576
134aa642b70
142955a15b4
15180ec5e60
hexeae742ea

3941024490 has 128 divisors (see below), whose sum is σ = 11983749120. Its totient is φ = 913019904.

The previous prime is 3941024489. The next prime is 3941024533. The reversal of 3941024490 is 944201493.

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, 26647 + ... + 92693.

It is an arithmetic number, because the mean of its divisors is an integer number (93623040).

Almost surely, 23941024490 is an apocalyptic number.

3941024490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3941024490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991874560).

3941024490 is an abundant number, since it is smaller than the sum of its proper divisors (8042724630).

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

3941024490 is a wasteful number, since it uses less digits than its factorization.

3941024490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66093 (or 66087 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3941024490 is about 62777.5795168944. The cubic root of 3941024490 is about 1579.5609112078.

The spelling of 3941024490 in words is "three billion, nine hundred forty-one million, twenty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1105 1170 1326 1530 1755 1989 2210 2295 3315 3510 3978 4590 5967 6630 9945 11934 19890 29835 59670 66047 132094 198141 330235 396282 594423 660470 858611 990705 1122799 1188846 1717222 1783269 1981410 2245598 2575833 2972115 3368397 3566538 4293055 5151666 5613995 5944230 6736794 7727499 8586110 8916345 10105191 11227990 12879165 14596387 15454998 16841985 17832690 20210382 23182497 25758330 29192774 30315573 33683970 38637495 43789161 46364994 50525955 60631146 72981935 77274990 87578322 101051910 115912485 131367483 145963870 151577865 218945805 231824970 262734966 303155730 394102449 437891610 656837415 788204898 1313674830 1970512245 3941024490