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4252318160 = 2454310112239
BaseRepresentation
bin1111110101110101…
…0011100111010000
3101222100111010220012
43331131103213100
532202043140120
61541541534052
7210243052016
oct37535234720
911870433805
104252318160
111892360632
129a8114328
13529c962bc
142c4a748b6
1519d4b61c5
hexfd7539d0

4252318160 has 80 divisors (see below), whose sum is σ = 10217560320. Its totient is φ = 1644787200.

The previous prime is 4252318141. The next prime is 4252318183. The reversal of 4252318160 is 618132524.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341321 + ... + 353559.

It is an arithmetic number, because the mean of its divisors is an integer number (127719504).

Almost surely, 24252318160 is an apocalyptic number.

4252318160 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 4252318160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108780160).

4252318160 is an abundant number, since it is smaller than the sum of its proper divisors (5965242160).

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

4252318160 is a wasteful number, since it uses less digits than its factorization.

4252318160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12396 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4252318160 is about 65209.8011038218. The cubic root of 4252318160 is about 1620.1003545006.

The spelling of 4252318160 in words is "four billion, two hundred fifty-two million, three hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 101 172 202 215 344 404 430 505 688 808 860 1010 1616 1720 2020 3440 4040 4343 8080 8686 12239 17372 21715 24478 34744 43430 48956 61195 69488 86860 97912 122390 173720 195824 244780 347440 489560 526277 979120 1052554 1236139 2105108 2472278 2631385 4210216 4944556 5262770 6180695 8420432 9889112 10525540 12361390 19778224 21051080 24722780 42102160 49445560 53153977 98891120 106307954 212615908 265769885 425231816 531539770 850463632 1063079540 2126159080 4252318160