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4482348288 = 283114112941
BaseRepresentation
bin1000010110010101…
…10011010100000000
3102120101022212220120
410023022303110000
533134440121123
62020440140240
7216035221545
oct41312632400
912511285816
104482348288
1119a0194680
12a51167680
135658361c2
14307432bcc
151b37a32e3
hex10b2b3500

4482348288 has 144 divisors (see below), whose sum is σ = 13332537792. Its totient is φ = 1325056000.

The previous prime is 4482348229. The next prime is 4482348293. The reversal of 4482348288 is 8828432844.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4482348288.

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, 339898 + ... + 352838.

It is an arithmetic number, because the mean of its divisors is an integer number (92587068).

Almost surely, 24482348288 is an apocalyptic number.

4482348288 is a gapful number since it is divisible by the number (48) 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 4482348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666268896).

4482348288 is an abundant number, since it is smaller than the sum of its proper divisors (8850189504).

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

4482348288 is a wasteful number, since it uses less digits than its factorization.

4482348288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 12998 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 51.

The square root of 4482348288 is about 66950.3419558108. The cubic root of 4482348288 is about 1648.8021042786.

The spelling of 4482348288 in words is "four billion, four hundred eighty-two million, three hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 984 1056 1312 1353 1408 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 7216 7872 8448 10496 10824 12941 14432 15744 21648 25882 28864 31488 38823 43296 51764 57728 77646 86592 103528 115456 142351 155292 173184 207056 284702 310584 346368 414112 427053 530581 569404 621168 828224 854106 1061162 1138808 1242336 1591743 1656448 1708212 2122324 2277616 2484672 3183486 3312896 3416424 4244648 4555232 4969344 5836391 6366972 6832848 8489296 9110464 9938688 11672782 12733944 13665696 16978592 17509173 18220928 23345564 25467888 27331392 33957184 35018346 36441856 46691128 50935776 54662784 67914368 70036692 93382256 101871552 109325568 135828736 140073384 186764512 203743104 280146768 373529024 407486208 560293536 747058048 1120587072 1494116096 2241174144 4482348288