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2042424300 = 2235271396997
BaseRepresentation
bin111100110111100…
…1110101111101100
312021100011220102110
41321233032233230
513140330034200
6534400124020
7101420214540
oct17157165754
95240156373
102042424300
11958993674
12490006610
132671ac4b7
1415537da20
15be492b50
hex79bcebec

2042424300 has 144 divisors (see below), whose sum is σ = 6803175680. Its totient is φ = 463415040.

The previous prime is 2042424289. The next prime is 2042424313. The reversal of 2042424300 is 34242402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288402 + ... + 295398.

Almost surely, 22042424300 is an apocalyptic number.

2042424300 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 2042424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401587840).

2042424300 is an abundant number, since it is smaller than the sum of its proper divisors (4760751380).

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

2042424300 is a wasteful number, since it uses less digits than its factorization.

2042424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7153 counting only the distinct ones).

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

The square root of 2042424300 is about 45193.1886460781. The cubic root of 2042424300 is about 1268.7673368335.

Adding to 2042424300 its reverse (34242402), we get a palindrome (2076666702).

The spelling of 2042424300 in words is "two billion, forty-two million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 139 140 150 175 210 278 300 350 417 420 525 556 695 700 834 973 1050 1390 1668 1946 2085 2100 2780 2919 3475 3892 4170 4865 5838 6950 6997 8340 9730 10425 11676 13900 13994 14595 19460 20850 20991 24325 27988 29190 34985 41700 41982 48650 48979 58380 69970 72975 83964 97300 97958 104955 139940 145950 146937 174925 195916 209910 244895 291900 293874 349850 419820 489790 524775 587748 699700 734685 972583 979580 1049550 1224475 1469370 1945166 2099100 2448950 2917749 2938740 3673425 3890332 4862915 4897900 5835498 6808081 7346850 9725830 11670996 13616162 14588745 14693700 19451660 20424243 24314575 27232324 29177490 34040405 40848486 48629150 58354980 68080810 72943725 81696972 97258300 102121215 136161620 145887450 170202025 204242430 291774900 340404050 408484860 510606075 680808100 1021212150 2042424300