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424042200 = 233252376367
BaseRepresentation
bin11001010001100…
…101111011011000
31002112220120112200
4121101211323120
51332023322300
6110024410200
713336204431
oct3121457330
91075816480
10424042200
111a83a71aa
12ba016960
1369b0b85a
1440462488
1527362200
hex19465ed8

424042200 has 144 divisors (see below), whose sum is σ = 1462793280. Its totient is φ = 110004480.

The previous prime is 424042189. The next prime is 424042219. The reversal of 424042200 is 2240424.

424042200 is a `hidden beast` number, since 4 + 240 + 422 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63417 + ... + 69783.

Almost surely, 2424042200 is an apocalyptic number.

424042200 is a gapful number since it is divisible by the number (40) 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 424042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731396640).

424042200 is an abundant number, since it is smaller than the sum of its proper divisors (1038751080).

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

424042200 is a wasteful number, since it uses less digits than its factorization.

424042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 424042200 is about 20592.2849630632. The cubic root of 424042200 is about 751.2820738002.

Adding to 424042200 its reverse (2240424), we get a palindrome (426282624).

The spelling of 424042200 in words is "four hundred twenty-four million, forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6367 6660 7400 8325 11100 12734 13320 16650 19101 22200 25468 31835 33300 38202 50936 57303 63670 66600 76404 95505 114606 127340 152808 159175 191010 229212 235579 254680 286515 318350 382020 458424 471158 477525 573030 636700 706737 764040 942316 955050 1146060 1177895 1273400 1413474 1432575 1884632 1910100 2120211 2292120 2355790 2826948 2865150 3533685 3820200 4240422 4711580 5653896 5730300 5889475 7067370 8480844 9423160 10601055 11460600 11778950 14134740 16961688 17668425 21202110 23557900 28269480 35336850 42404220 47115800 53005275 70673700 84808440 106010550 141347400 212021100 424042200