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4024443240 = 2332588112689
BaseRepresentation
bin1110111111100000…
…0010000101101000
3101101110200220021100
43233320002011220
531220224140430
61503201441400
7201505126446
oct35770020550
911343626240
104024443240
111785769854
12943940260
134c19cc37c
142a26b7b96
151884a2960
hexefe02168

4024443240 has 96 divisors (see below), whose sum is σ = 13095318600. Its totient is φ = 1071882240.

The previous prime is 4024443221. The next prime is 4024443251. The reversal of 4024443240 is 423444204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1702552644 + 2321890596 = 41262^2 + 48186^2 .

It is a super-2 number, since 2×40244432402 = 32392286783963395200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310816 + ... + 323504.

Almost surely, 24024443240 is an apocalyptic number.

4024443240 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 4024443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547659300).

4024443240 is an abundant number, since it is smaller than the sum of its proper divisors (9070875360).

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

4024443240 is a wasteful number, since it uses less digits than its factorization.

4024443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4024443240 is about 63438.4996670003. The cubic root of 4024443240 is about 1590.6279233416.

Adding to 4024443240 its reverse (423444204), we get a palindrome (4447887444).

The spelling of 4024443240 in words is "four billion, twenty-four million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 881 1762 2643 3524 4405 5286 7048 7929 8810 10572 12689 13215 15858 17620 21144 25378 26430 31716 35240 38067 39645 50756 52860 63432 63445 76134 79290 101512 105720 114201 126890 152268 158580 190335 228402 253780 304536 317160 380670 456804 507560 571005 761340 913608 1142010 1522680 2284020 4568040 11179009 22358018 33537027 44716036 55895045 67074054 89432072 100611081 111790090 134148108 167685135 201222162 223580180 268296216 335370270 402444324 447160360 503055405 670740540 804888648 1006110810 1341481080 2012221620 4024443240