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4018748240 = 245133124021
BaseRepresentation
bin1110111110001001…
…0011101101010000
3101101001222120012102
43233202103231100
531212244420430
61502435415532
7201405540113
oct35742235520
911331876172
104018748240
11178252a041
12941a545a8
134c0787150
142a1a3457a
15187c2a345
hexef893b50

4018748240 has 120 divisors (see below), whose sum is σ = 10399974984. Its totient is φ = 1435622400.

The previous prime is 4018748233. The next prime is 4018748257. The reversal of 4018748240 is 428478104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81938704 + 3936809536 = 9052^2 + 62744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4018748194 and 4018748203.

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 23 ways as a sum of consecutive naturals, for example, 997430 + ... + 1001450.

Almost surely, 24018748240 is an apocalyptic number.

4018748240 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 4018748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199987492).

4018748240 is an abundant number, since it is smaller than the sum of its proper divisors (6381226744).

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

4018748240 is a wasteful number, since it uses less digits than its factorization.

4018748240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 4018748240 is about 63393.5977840034. The cubic root of 4018748240 is about 1589.8772685879.

The spelling of 4018748240 in words is "four billion, eighteen million, seven hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 961 1040 1240 1612 1922 2015 2480 3224 3844 4021 4030 4805 6448 7688 8042 8060 9610 12493 15376 16084 16120 19220 20105 24986 32168 32240 38440 40210 49972 52273 62465 64336 76880 80420 99944 104546 124651 124930 160840 199888 209092 249302 249860 261365 321680 418184 498604 499720 522730 623255 836368 997208 999440 1045460 1246510 1620463 1994416 2090920 2493020 3240926 3864181 4181840 4986040 6481852 7728362 8102315 9972080 12963704 15456724 16204630 19320905 25927408 30913448 32409260 38641810 50234353 61826896 64818520 77283620 100468706 129637040 154567240 200937412 251171765 309134480 401874824 502343530 803749648 1004687060 2009374120 4018748240