Search a number
-
+
4853389760 = 265314111933
BaseRepresentation
bin1001000010100100…
…01101100111000000
3110112020111202010022
410201102031213000
534414431433020
62121332553012
7231162063242
oct44122154700
913466452108
104853389760
11207068061a
12b35482768
135c467887b
1434081a092
151d6146625
hex12148d9c0

4853389760 has 112 divisors (see below), whose sum is σ = 12221943552. Its totient is φ = 1832755200.

The previous prime is 4853389759. The next prime is 4853389769. The reversal of 4853389760 is 679833584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4853389769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400754 + ... + 412686.

It is an arithmetic number, because the mean of its divisors is an integer number (109124496).

Almost surely, 24853389760 is an apocalyptic number.

4853389760 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 4853389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110971776).

4853389760 is an abundant number, since it is smaller than the sum of its proper divisors (7368553792).

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

4853389760 is a wasteful number, since it uses less digits than its factorization.

4853389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12022 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The square root of 4853389760 is about 69666.2741934718. The cubic root of 4853389760 is about 1693.0965437940.

The spelling of 4853389760 in words is "four billion, eight hundred fifty-three million, three hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 155 160 164 205 248 310 320 328 410 496 620 656 820 992 1240 1271 1312 1640 1984 2480 2542 2624 3280 4960 5084 6355 6560 9920 10168 11933 12710 13120 20336 23866 25420 40672 47732 50840 59665 81344 95464 101680 119330 190928 203360 238660 369923 381856 406720 477320 489253 739846 763712 954640 978506 1479692 1849615 1909280 1957012 2446265 2959384 3699230 3818560 3914024 4892530 5918768 7398460 7828048 9785060 11837536 14796920 15166843 15656096 19570120 23675072 29593840 30333686 31312192 39140240 59187680 60667372 75834215 78280480 118375360 121334744 151668430 156560960 242669488 303336860 485338976 606673720 970677952 1213347440 2426694880 4853389760