Search a number
-
+
2041868424 = 2332329229557
BaseRepresentation
bin111100110110100…
…0111000010001000
312021022010122220110
41321231013002020
513140204242144
6534340154320
7101412411111
oct17155070210
95238118813
102041868424
11958643a72
1248b9989a0
1326704648b
14155277208
15be3d30b9
hex79b47088

2041868424 has 128 divisors (see below), whose sum is σ = 5544288000. Its totient is φ = 624712704.

The previous prime is 2041868399. The next prime is 2041868443. The reversal of 2041868424 is 4248681402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3665554 + ... + 3666110.

It is an arithmetic number, because the mean of its divisors is an integer number (43314750).

Almost surely, 22041868424 is an apocalyptic number.

2041868424 is a gapful number since it is divisible by the number (24) 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 2041868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772144000).

2041868424 is an abundant number, since it is smaller than the sum of its proper divisors (3502419576).

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

2041868424 is a wasteful number, since it uses less digits than its factorization.

2041868424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2041868424 is about 45187.0382300057. The cubic root of 2041868424 is about 1268.6522217868.

The spelling of 2041868424 in words is "two billion, forty-one million, eight hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 229 232 276 348 458 552 557 667 687 696 916 1114 1334 1374 1671 1832 2001 2228 2668 2748 3342 4002 4456 5267 5336 5496 6641 6684 8004 10534 12811 13282 13368 15801 16008 16153 19923 21068 25622 26564 31602 32306 38433 39846 42136 48459 51244 53128 63204 64612 76866 79692 96918 102488 126408 127553 129224 152743 153732 159384 193836 255106 305486 307464 371519 382659 387672 458229 510212 610972 743038 765318 916458 1020424 1114557 1221944 1486076 1530636 1832916 2229114 2933719 2972152 3061272 3665832 3699037 4458228 5867438 7398074 8801157 8916456 11097111 11734876 14796148 17602314 22194222 23469752 29592296 35204628 44388444 70409256 85077851 88776888 170155702 255233553 340311404 510467106 680622808 1020934212 2041868424