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8235064448 = 271326172
BaseRepresentation
bin1111010101101100…
…10001110010000000
3210020220201121200222
413222312101302000
5113331134030243
63441054002212
7411033615152
oct75266216200
923226647628
108235064448
11354652a896
121719aa6368
13a13156600
145819b6ad2
15332e7e168
hex1ead91c80

8235064448 has 72 divisors (see below), whose sum is σ = 17793691155. Its totient is φ = 3794638848.

The previous prime is 8235064423. The next prime is 8235064483. The reversal of 8235064448 is 8444605328.

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 390773824 + 7844290624 = 19768^2 + 88568^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64168.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8235064399 and 8235064408.

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, 13346636 + ... + 13347252.

Almost surely, 28235064448 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 8235064448

8235064448 is an abundant number, since it is smaller than the sum of its proper divisors (9558626707).

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

8235064448 is an frugal number, since it uses more digits than its factorization.

8235064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The square root of 8235064448 is about 90747.2558703568. The cubic root of 8235064448 is about 2019.3999171661.

The spelling of 8235064448 in words is "eight billion, two hundred thirty-five million, sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 617 676 832 1234 1352 1664 2468 2704 4936 5408 8021 9872 10816 16042 19744 21632 32084 39488 64168 78976 104273 128336 208546 256672 380689 417092 513344 761378 834184 1026688 1522756 1668368 3045512 3336736 4948957 6091024 6673472 9897914 12182048 13346944 19795828 24364096 39591656 48728192 64336441 79183312 128672882 158366624 257345764 316733248 514691528 633466496 1029383056 2058766112 4117532224 8235064448