Search a number
-
+
2042423400 = 2335213724847
BaseRepresentation
bin111100110111100…
…1110100001101000
312021100011212012010
41321233032201220
513140330022100
6534400115520
7101420212113
oct17157164150
95240155163
102042423400
11958992a26
12490005ba0
132671abc74
1415537d57a
15be492750
hex79bce868

2042423400 has 96 divisors (see below), whose sum is σ = 6377984640. Its totient is φ = 540648960.

The previous prime is 2042423389. The next prime is 2042423407. The reversal of 2042423400 is 43242402.

It is a super-3 number, since 3×20424234003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042423407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69777 + ... + 94623.

It is an arithmetic number, because the mean of its divisors is an integer number (66437340).

Almost surely, 22042423400 is an apocalyptic number.

2042423400 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 2042423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188992320).

2042423400 is an abundant number, since it is smaller than the sum of its proper divisors (4335561240).

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

2042423400 is a wasteful number, since it uses less digits than its factorization.

2042423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2042423400 is about 45193.1786888243. The cubic root of 2042423400 is about 1268.7671504715.

Adding to 2042423400 its reverse (43242402), we get a palindrome (2085665802).

The spelling of 2042423400 in words is "two billion, forty-two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 137 150 200 274 300 411 548 600 685 822 1096 1370 1644 2055 2740 3288 3425 4110 5480 6850 8220 10275 13700 16440 20550 24847 27400 41100 49694 74541 82200 99388 124235 149082 198776 248470 298164 372705 496940 596328 621175 745410 993880 1242350 1490820 1863525 2484700 2981640 3404039 3727050 4969400 6808078 7454100 10212117 13616156 14908200 17020195 20424234 27232312 34040390 40848468 51060585 68080780 81696936 85100975 102121170 136161560 170201950 204242340 255302925 340403900 408484680 510605850 680807800 1021211700 2042423400