Search a number
-
+
2404028840 = 235893531913
BaseRepresentation
bin1000111101001010…
…1001000110101000
320012112121022121012
42033102221012220
514410412410330
61034314403052
7113400623303
oct21722510650
96175538535
102404028840
1110240144a4
12571130488
132c4099695
1418b3cbb3a
15e10bec95
hex8f4a91a8

2404028840 has 64 divisors (see below), whose sum is σ = 5488203600. Its totient is φ = 947617792.

The previous prime is 2404028833. The next prime is 2404028843. The reversal of 2404028840 is 488204042.

It can be written as a sum of positive squares in 8 ways, for example, as 1021825156 + 1382203684 = 31966^2 + 37178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2404028797 and 2404028806.

It is not an unprimeable number, because it can be changed into a prime (2404028843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255724 + ... + 1257636.

Almost surely, 22404028840 is an apocalyptic number.

2404028840 is a gapful number since it is divisible by the number (20) 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 2404028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744101800).

2404028840 is an abundant number, since it is smaller than the sum of its proper divisors (3084174760).

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

2404028840 is a wasteful number, since it uses less digits than its factorization.

2404028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 2404028840 is about 49030.8967896774. The cubic root of 2404028840 is about 1339.6146586351.

The spelling of 2404028840 in words is "two billion, four hundred four million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 353 356 445 706 712 890 1412 1765 1780 1913 2824 3530 3560 3826 7060 7652 9565 14120 15304 19130 31417 38260 62834 76520 125668 157085 170257 251336 314170 340514 628340 675289 681028 851285 1256680 1350578 1362056 1702570 2701156 3376445 3405140 5402312 6752890 6810280 13505780 27011560 60100721 120201442 240402884 300503605 480805768 601007210 1202014420 2404028840