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4202443320 = 2335431316217
BaseRepresentation
bin1111101001111100…
…0011001000111000
3101211212122020110220
43322133003020320
532101311141240
61533000540040
7206066115225
oct37237031070
911755566426
104202443320
111867195959
12993481620
1351c852b6a
142bc1b094c
15198e135d0
hexfa7c3238

4202443320 has 128 divisors (see below), whose sum is σ = 13001091840. Its totient is φ = 1086059520.

The previous prime is 4202443319. The next prime is 4202443337. The reversal of 4202443320 is 233442024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 672852 + ... + 679068.

It is an arithmetic number, because the mean of its divisors is an integer number (101571030).

Almost surely, 24202443320 is an apocalyptic number.

4202443320 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 4202443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500545920).

4202443320 is an abundant number, since it is smaller than the sum of its proper divisors (8798648520).

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

4202443320 is a wasteful number, since it uses less digits than its factorization.

4202443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4202443320 is about 64826.2548663734. The cubic root of 4202443320 is about 1613.7414522382.

Adding to 4202443320 its reverse (233442024), we get a palindrome (4435885344).

The spelling of 4202443320 in words is "four billion, two hundred two million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 131 172 215 258 262 344 393 430 516 524 645 655 786 860 1032 1048 1290 1310 1572 1720 1965 2580 2620 3144 3930 5160 5240 5633 6217 7860 11266 12434 15720 16899 18651 22532 24868 28165 31085 33798 37302 45064 49736 56330 62170 67596 74604 84495 93255 112660 124340 135192 149208 168990 186510 225320 248680 267331 337980 373020 534662 675960 746040 801993 814427 1069324 1336655 1603986 1628854 2138648 2443281 2673310 3207972 3257708 4009965 4072135 4886562 5346620 6415944 6515416 8019930 8144270 9773124 10693240 12216405 16039860 16288540 19546248 24432810 32079720 32577080 35020361 48865620 70040722 97731240 105061083 140081444 175101805 210122166 280162888 350203610 420244332 525305415 700407220 840488664 1050610830 1400814440 2101221660 4202443320