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8484478480 = 245593135743
BaseRepresentation
bin1111110011011011…
…01101111000010000
3210220022001011102201
413321231231320100
5114334011302410
63521523452544
7420152606602
oct77155557020
923808034381
108484478480
1136642a3295
121789527154
13a52a2238a
145a6b7d172
15349ce983a
hex1f9b6de10

8484478480 has 80 divisors (see below), whose sum is σ = 20128354560. Its totient is φ = 3325031424.

The previous prime is 8484478451. The next prime is 8484478489. The reversal of 8484478480 is 848744848.

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

It is a super-2 number, since 2×84844784802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8484478489) 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 15 ways as a sum of consecutive naturals, for example, 1474489 + ... + 1480231.

It is an arithmetic number, because the mean of its divisors is an integer number (251604432).

Almost surely, 28484478480 is an apocalyptic number.

8484478480 is a gapful number since it is divisible by the number (80) 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 8484478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064177280).

8484478480 is an abundant number, since it is smaller than the sum of its proper divisors (11643876080).

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

8484478480 is a wasteful number, since it uses less digits than its factorization.

8484478480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 55.

The square root of 8484478480 is about 92111.2288486046. The cubic root of 8484478480 is about 2039.5845687446.

The spelling of 8484478480 in words is "eight billion, four hundred eighty-four million, four hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 313 472 590 626 944 1180 1252 1565 2360 2504 3130 4720 5008 5743 6260 11486 12520 18467 22972 25040 28715 36934 45944 57430 73868 91888 92335 114860 147736 184670 229720 295472 338837 369340 459440 677674 738680 1355348 1477360 1694185 1797559 2710696 3388370 3595118 5421392 6776740 7190236 8987795 13553480 14380472 17975590 27106960 28760944 35951180 71902360 106055981 143804720 212111962 424223924 530279905 848447848 1060559810 1696895696 2121119620 4242239240 8484478480