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4964727248 = 241324199041
BaseRepresentation
bin1001001111110101…
…11011100111010000
3110211000000021102222
410213322323213100
540131432232443
62140351200212
7234013325315
oct44772734720
913730007388
104964727248
112118506078
12b66816068
1361175b940
1435151cd0c
151e0cda468
hex127ebb9d0

4964727248 has 40 divisors (see below), whose sum is σ = 10402183176. Its totient is φ = 2281881600.

The previous prime is 4964727241. The next prime is 4964727263. The reversal of 4964727248 is 8427274694.

It can be written as a sum of positive squares in 4 ways, for example, as 174979984 + 4789747264 = 13228^2 + 69208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4964727248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964727241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 608 + ... + 99648.

Almost surely, 24964727248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4964727248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201091588).

4964727248 is an abundant number, since it is smaller than the sum of its proper divisors (5437455928).

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

4964727248 is a wasteful number, since it uses less digits than its factorization.

4964727248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99303 (or 99297 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 53.

The square root of 4964727248 is about 70460.8206594275. The cubic root of 4964727248 is about 1705.9454167408.

The spelling of 4964727248 in words is "four billion, nine hundred sixty-four million, seven hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1928 3133 3856 6266 12532 25064 50128 99041 198082 396164 792328 1287533 1584656 2575066 5150132 10300264 20600528 23868881 47737762 95475524 190951048 310295453 381902096 620590906 1241181812 2482363624 4964727248