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5582289152 = 281123791091
BaseRepresentation
bin1010011001011101…
…01111100100000000
3112102001001200010002
411030232233210000
542413031223102
62321531455132
7255222450326
oct51456574400
915361050102
105582289152
112405069510
1210b95b74a8
136ac695c9b
143ad557d16
1522a126902
hex14cbaf900

5582289152 has 144 divisors (see below), whose sum is σ = 12856596480. Its totient is φ = 2394163200.

The previous prime is 5582289131. The next prime is 5582289203. The reversal of 5582289152 is 2519822855.

It is a junction number, because it is equal to n+sod(n) for n = 5582289097 and 5582289106.

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, 5116127 + ... + 5117217.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 25582289152 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 5582289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

5582289152 is an abundant number, since it is smaller than the sum of its proper divisors (7274307328).

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

5582289152 is a wasteful number, since it uses less digits than its factorization.

5582289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its digits is 576000, while the sum is 47.

The square root of 5582289152 is about 74714.7184428878. The cubic root of 5582289152 is about 1773.9339391841.

The spelling of 5582289152 in words is "five billion, five hundred eighty-two million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 79 88 92 128 158 176 184 253 256 316 352 368 506 632 704 736 869 1012 1091 1264 1408 1472 1738 1817 2024 2182 2528 2816 2944 3476 3634 4048 4364 5056 5888 6952 7268 8096 8728 10112 12001 13904 14536 16192 17456 19987 20224 24002 25093 27808 29072 32384 34912 39974 48004 50186 55616 58144 64768 69824 79948 86189 96008 100372 111232 116288 139648 159896 172378 192016 200744 222464 232576 276023 279296 319792 344756 384032 401488 465152 552046 639584 689512 768064 802976 948079 1104092 1279168 1379024 1536128 1605952 1896158 1982347 2208184 2558336 2758048 3072256 3211904 3792316 3964694 4416368 5116672 5516096 6423808 7584632 7929388 8832736 11032192 15169264 15858776 17665472 21805817 22064384 30338528 31717552 35330944 43611634 60677056 63435104 70661888 87223268 121354112 126870208 174446536 242708224 253740416 348893072 507480832 697786144 1395572288 2791144576 5582289152