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1138735648 = 25311975827
BaseRepresentation
bin100001111011111…
…1011101000100000
32221100201202122101
41003313323220200
54313004020043
6304555020144
740135044001
oct10367735040
92840652571
101138735648
11534871a46
1227943a654
13151bc3b9b
14ab3431a8
1569e8824d
hex43dfba20

1138735648 has 48 divisors (see below), whose sum is σ = 2326351104. Its totient is φ = 548110080.

The previous prime is 1138735627. The next prime is 1138735733. The reversal of 1138735648 is 8465378311.

It is a junction number, because it is equal to n+sod(n) for n = 1138735598 and 1138735607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192511 + ... + 198337.

It is an arithmetic number, because the mean of its divisors is an integer number (48465648).

Almost surely, 21138735648 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 1138735648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163175552).

1138735648 is an abundant number, since it is smaller than the sum of its proper divisors (1187615456).

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

1138735648 is a wasteful number, since it uses less digits than its factorization.

1138735648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6057 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 1138735648 is about 33745.1574007294. The cubic root of 1138735648 is about 1044.2575858195.

The spelling of 1138735648 in words is "one billion, one hundred thirty-eight million, seven hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 197 248 394 496 788 992 1576 3152 5827 6107 6304 11654 12214 23308 24428 46616 48856 93232 97712 180637 186464 195424 361274 722548 1147919 1445096 2295838 2890192 4591676 5780384 9183352 18366704 35585489 36733408 71170978 142341956 284683912 569367824 1138735648