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1118008480 = 25528324691
BaseRepresentation
bin100001010100011…
…0111010010100000
32212220201201022111
41002220313102200
54242202232410
6302534445104
736463625641
oct10250672240
92786651274
101118008480
115240a5356
12272503794
1314a8177a4
14a86a96c8
1568241b8a
hex42a374a0

1118008480 has 48 divisors (see below), whose sum is σ = 2650735584. Its totient is φ = 445605120.

The previous prime is 1118008363. The next prime is 1118008481. The reversal of 1118008480 is 848008111.

It is a super-2 number, since 2×11180084802 = 2499885922703820800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1118008481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32935 + ... + 57625.

It is an arithmetic number, because the mean of its divisors is an integer number (55223658).

Almost surely, 21118008480 is an apocalyptic number.

1118008480 is a gapful number since it is divisible by the number (10) 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 1118008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325367792).

1118008480 is an abundant number, since it is smaller than the sum of its proper divisors (1532727104).

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

1118008480 is a wasteful number, since it uses less digits than its factorization.

1118008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24989 (or 24981 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 1118008480 is about 33436.6338018647. The cubic root of 1118008480 is about 1037.8829220876.

The spelling of 1118008480 in words is "one billion, one hundred eighteen million, eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22640 24691 45280 49382 98764 123455 197528 246910 395056 493820 790112 987640 1975280 3950560 6987553 13975106 27950212 34937765 55900424 69875530 111800848 139751060 223601696 279502120 559004240 1118008480