Search a number
-
+
5776005480 = 2335737918143
BaseRepresentation
bin1010110000100011…
…01101100101101000
3112220112120110221220
411120101231211220
543312124133410
62353051502040
7263064144060
oct53021554550
915815513856
105776005480
1124a444a453
121152457920
1371086012b
143cb1823a0
1523c13e070
hex15846d968

5776005480 has 128 divisors (see below), whose sum is σ = 19856793600. Its totient is φ = 1316673792.

The previous prime is 5776005463. The next prime is 5776005481. The reversal of 5776005480 is 845006775.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5776005481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309289 + ... + 327431.

It is an arithmetic number, because the mean of its divisors is an integer number (155131200).

Almost surely, 25776005480 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 5776005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928396800).

5776005480 is an abundant number, since it is smaller than the sum of its proper divisors (14080788120).

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

5776005480 is a wasteful number, since it uses less digits than its factorization.

5776005480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18543 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 5776005480 is about 76000.0360526230. The cubic root of 5776005480 is about 1794.2207111170.

The spelling of 5776005480 in words is "five billion, seven hundred seventy-six million, five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 379 420 758 840 1137 1516 1895 2274 2653 3032 3790 4548 5306 5685 7580 7959 9096 10612 11370 13265 15160 15918 18143 21224 22740 26530 31836 36286 39795 45480 53060 54429 63672 72572 79590 90715 106120 108858 127001 145144 159180 181430 217716 254002 272145 318360 362860 381003 435432 508004 544290 635005 725720 762006 1016008 1088580 1270010 1524012 1905015 2177160 2540020 3048024 3810030 5080040 6876197 7620060 13752394 15240120 20628591 27504788 34380985 41257182 48133379 55009576 68761970 82514364 96266758 103142955 137523940 144400137 165028728 192533516 206285910 240666895 275047880 288800274 385067032 412571820 481333790 577600548 722000685 825143640 962667580 1155201096 1444001370 1925335160 2888002740 5776005480