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2042413704 = 233426911717
BaseRepresentation
bin111100110111100…
…1100001010001000
312021100011100220000
41321233030022020
513140324214304
6534400003000
7101420141622
oct17157141210
95240140800
102042413704
11958986711
12490000460
132671a7726
14155379c12
15be48e939
hex79bcc288

2042413704 has 80 divisors (see below), whose sum is σ = 5742405900. Its totient is φ = 678215808.

The previous prime is 2042413693. The next prime is 2042413739. The reversal of 2042413704 is 4073142402.

It can be written as a sum of positive squares in 2 ways, for example, as 1347036804 + 695376900 = 36702^2 + 26370^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168454 + ... + 180170.

Almost surely, 22042413704 is an apocalyptic number.

2042413704 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 2042413704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871202950).

2042413704 is an abundant number, since it is smaller than the sum of its proper divisors (3699992196).

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

2042413704 is a wasteful number, since it uses less digits than its factorization.

2042413704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2042413704 is about 45193.0714158708. The cubic root of 2042413704 is about 1268.7651427282.

The spelling of 2042413704 in words is "two billion, forty-two million, four hundred thirteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 269 324 538 648 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 11717 14526 19368 21789 23434 29052 35151 43578 46868 58104 70302 87156 93736 105453 140604 174312 210906 281208 316359 421812 632718 843624 949077 1265436 1898154 2530872 3151873 3796308 6303746 7592616 9455619 12607492 18911238 25214984 28366857 37822476 56733714 75644952 85100571 113467428 170201142 226934856 255301713 340402284 510603426 680804568 1021206852 2042413704