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4484837742 = 23711791031193
BaseRepresentation
bin1000010110101000…
…10011000101101110
3102120120000100210120
410023110103011232
533141104301432
62021005345410
7216065330460
oct41324230556
912516010716
104484837742
1119a1634a80
12a51b68266
135661c8358
143078c0130
151b3ae5c2c
hex10b51316e

4484837742 has 128 divisors (see below), whose sum is σ = 11444060160. Its totient is φ = 1138026240.

The previous prime is 4484837717. The next prime is 4484837771. The reversal of 4484837742 is 2477384844.

It is a super-2 number, since 2×44848377422 = 40227539144135317128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3758698 + ... + 3759890.

It is an arithmetic number, because the mean of its divisors is an integer number (89406720).

Almost surely, 24484837742 is an apocalyptic number.

4484837742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4484837742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722030080).

4484837742 is an abundant number, since it is smaller than the sum of its proper divisors (6959222418).

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

4484837742 is a wasteful number, since it uses less digits than its factorization.

4484837742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398.

The product of its digits is 4816896, while the sum is 51.

The square root of 4484837742 is about 66968.9311696103. The cubic root of 4484837742 is about 1649.1072908368.

The spelling of 4484837742 in words is "four billion, four hundred eighty-four million, eight hundred thirty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 103 154 158 206 231 237 309 462 474 553 618 721 869 1106 1133 1193 1442 1659 1738 2163 2266 2386 2607 3318 3399 3579 4326 5214 6083 6798 7158 7931 8137 8351 12166 13123 15862 16274 16702 18249 23793 24411 25053 26246 36498 39369 47586 48822 50106 56959 78738 89507 91861 94247 113918 122879 170877 179014 183722 188494 245758 268521 275583 282741 341754 368637 537042 551166 565482 626549 659729 737274 860153 1036717 1253098 1319458 1351669 1720306 1879647 1979187 2073434 2580459 2703338 3110151 3759294 3958374 4055007 5160918 6220302 7257019 8110014 9461683 9707441 14514038 18923366 19414882 21771057 28385049 29122323 43542114 56770098 58244646 67952087 106781851 135904174 203856261 213563702 320345553 407712522 640691106 747472957 1494945914 2242418871 4484837742