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8480728760 = 235749161687
BaseRepresentation
bin1111110010111110…
…11010011010111000
3210220000222122210012
413321133122122320
5114332031310020
63521311241052
7420106001510
oct77137323270
923800878705
108480728760
113662172049
121788219188
13a5200b6ca
145a6484840
153498087c5
hex1f97da6b8

8480728760 has 64 divisors (see below), whose sum is σ = 21852357120. Its totient is φ = 2901709440.

The previous prime is 8480728741. The next prime is 8480728777. The reversal of 8480728760 is 678270848.

It is a super-2 number, since 2×84807287602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8480728699 and 8480728708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106637 + ... + 168323.

It is an arithmetic number, because the mean of its divisors is an integer number (341443080).

Almost surely, 28480728760 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 8480728760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926178560).

8480728760 is an abundant number, since it is smaller than the sum of its proper divisors (13371628360).

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

8480728760 is a wasteful number, since it uses less digits than its factorization.

8480728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62196 (or 62192 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 50.

The square root of 8480728760 is about 92090.8722947068. The cubic root of 8480728760 is about 2039.2840592906.

The spelling of 8480728760 in words is "eight billion, four hundred eighty million, seven hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 982 1964 2455 3437 3928 4910 6874 9820 13748 17185 19640 27496 34370 61687 68740 123374 137480 246748 308435 431809 493496 616870 863618 1233740 1727236 2159045 2467480 3454472 4318090 8636180 17272360 30288317 60576634 121153268 151441585 212018219 242306536 302883170 424036438 605766340 848072876 1060091095 1211532680 1696145752 2120182190 4240364380 8480728760