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4853738448 = 2432133183639
BaseRepresentation
bin1001000010100111…
…00010101111010000
3110112021011110102200
410201103202233100
534420024112243
62121344243200
7231165044646
oct44123425720
913467143380
104853738448
112070899599
12b35610500
135c476b4b0
143408ab196
151d61b4ad3
hex1214e2bd0

4853738448 has 120 divisors (see below), whose sum is σ = 15100700160. Its totient is φ = 1445264640.

The previous prime is 4853738371. The next prime is 4853738501. The reversal of 4853738448 is 8448373584.

It is a junction number, because it is equal to n+sod(n) for n = 4853738394 and 4853738403.

It is a congruent number.

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, 16213 + ... + 99851.

It is an arithmetic number, because the mean of its divisors is an integer number (125839168).

Almost surely, 24853738448 is an apocalyptic number.

4853738448 is a gapful number since it is divisible by the number (48) 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 4853738448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550350080).

4853738448 is an abundant number, since it is smaller than the sum of its proper divisors (10246961712).

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

4853738448 is a wasteful number, since it uses less digits than its factorization.

4853738448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83697 (or 83688 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4853738448 is about 69668.7767080778. The cubic root of 4853738448 is about 1693.1370892231.

The spelling of 4853738448 in words is "four billion, eight hundred fifty-three million, seven hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 83639 167278 250917 334556 501834 669112 752751 1003668 1087307 1338224 1505502 2007336 2174614 2592809 3011004 3261921 4014672 4349228 5185618 6022008 6523842 7778427 8698456 9785763 10371236 12044016 13047684 15556854 17396912 19571526 20742472 23335281 26095368 31113708 33706517 39143052 41484944 46670562 52190736 62227416 67413034 78286104 93341124 101119551 124454832 134826068 156572208 186682248 202239102 269652136 303358653 373364496 404478204 539304272 606717306 808956408 1213434612 1617912816 2426869224 4853738448