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4448408640 = 263513356443
BaseRepresentation
bin1000010010010010…
…10101010001000000
3102111000110120110120
410021021111101000
533102243034030
62013224500240
7215143564254
oct41111252100
912430416416
104448408640
111983013285
12a4191a680
1355b7b1c80
14302b1a264
151b07ec010
hex109255440

4448408640 has 112 divisors (see below), whose sum is σ = 15210178368. Its totient is φ = 1094989824.

The previous prime is 4448408639. The next prime is 4448408669. The reversal of 4448408640 is 468048444.

It is a junction number, because it is equal to n+sod(n) for n = 4448408592 and 4448408601.

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, 165742 + ... + 190701.

It is an arithmetic number, because the mean of its divisors is an integer number (135805164).

Almost surely, 24448408640 is an apocalyptic number.

4448408640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4448408640 is an abundant number, since it is smaller than the sum of its proper divisors (10761769728).

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

4448408640 is a wasteful number, since it uses less digits than its factorization.

4448408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356476 (or 356466 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The square root of 4448408640 is about 66696.3915065875. The cubic root of 4448408640 is about 1644.6300649706.

The spelling of 4448408640 in words is "four billion, four hundred forty-eight million, four hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 356443 712886 1069329 1425772 1782215 2138658 2851544 3564430 4277316 4633759 5346645 5703088 7128860 8554632 9267518 10693290 11406176 13901277 14257720 17109264 18535036 21386580 22812352 23168795 27802554 28515440 34218528 37070072 42773160 46337590 55605108 57030880 68437056 69506385 74140144 85546320 92675180 111210216 114061760 139012770 148280288 171092640 185350360 222420432 278025540 296560576 342185280 370700720 444840864 556051080 741401440 889681728 1112102160 1482802880 2224204320 4448408640