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2483663840 = 25572217557
BaseRepresentation
bin1001010000001001…
…1011001111100000
320102002110012021122
42110002123033200
520041304220330
61050241311412
7115355536310
oct22402331740
96362405248
102483663840
111064a66449
12593935568
1330772c898
14197bdb440
15e80a05e5
hex9409b3e0

2483663840 has 48 divisors (see below), whose sum is σ = 6705895392. Its totient is φ = 851541504.

The previous prime is 2483663837. The next prime is 2483663873. The reversal of 2483663840 is 483663842.

It is a super-3 number, since 3×24836638403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2483663791 and 2483663800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107659 + ... + 1109898.

It is an arithmetic number, because the mean of its divisors is an integer number (139706154).

Almost surely, 22483663840 is an apocalyptic number.

2483663840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2483663840 is an abundant number, since it is smaller than the sum of its proper divisors (4222231552).

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

2483663840 is a wasteful number, since it uses less digits than its factorization.

2483663840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217579 (or 2217571 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 2483663840 is about 49836.3706543725. The cubic root of 2483663840 is about 1354.2461350360.

The spelling of 2483663840 in words is "two billion, four hundred eighty-three million, six hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2217557 4435114 8870228 11087785 15522899 17740456 22175570 31045798 35480912 44351140 62091596 70961824 77614495 88702280 124183192 155228990 177404560 248366384 310457980 354809120 496732768 620915960 1241831920 2483663840