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805449248 = 252921732
BaseRepresentation
bin110000000000100…
…010111000100000
32002010121001122122
4300000202320200
53122143333443
6211531323412
725650130352
oct6000427040
92063531578
10805449248
11383722a3a
121a58b0568
13cab402b6
1478d870d2
154aaa1968
hex30022e20

805449248 has 54 divisors (see below), whose sum is σ = 1651841919. Its totient is φ = 386589952.

The previous prime is 805449221. The next prime is 805449257. The reversal of 805449248 is 842944508.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 743543824 + 61905424 = 27268^2 + 7868^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=20068.

It is a super-2 number, since 2×8054492482 = 1297496982207531008, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 805449199 and 805449208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4655690 + ... + 4655862.

Almost surely, 2805449248 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 805449248

805449248 is an abundant number, since it is smaller than the sum of its proper divisors (846392671).

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

805449248 is an equidigital number, since it uses as much as digits as its factorization.

805449248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 805449248 is about 28380.4377697033. The cubic root of 805449248 is about 930.4207630861.

The spelling of 805449248 in words is "eight hundred five million, four hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 173 232 346 464 692 841 928 1384 1682 2768 3364 5017 5536 6728 10034 13456 20068 26912 29929 40136 59858 80272 119716 145493 160544 239432 290986 478864 581972 867941 957728 1163944 1735882 2327888 3471764 4655776 6943528 13887056 25170289 27774112 50340578 100681156 201362312 402724624 805449248