Search a number
-
+
8049892608 = 28324338069
BaseRepresentation
bin1110111111100111…
…11001110100000000
3202210000021220200200
413133303321310000
5112441233030413
63410441045200
7403324646442
oct73763716400
922700256620
108049892608
113460a5550a
121687a86800
139b3991684
14565174492
15321aa3573
hex1dfcf9d00

8049892608 has 108 divisors (see below), whose sum is σ = 23266310340. Its totient is φ = 2676768768.

The previous prime is 8049892577. The next prime is 8049892619. The reversal of 8049892608 is 8062989408.

8049892608 is a `hidden beast` number, since 8 + 0 + 498 + 92 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300259584 + 7749633024 = 17328^2 + 88032^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993598 + ... + 1001666.

Almost surely, 28049892608 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 8049892608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11633155170).

8049892608 is an abundant number, since it is smaller than the sum of its proper divisors (15216417732).

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

8049892608 is a wasteful number, since it uses less digits than its factorization.

8049892608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8049892608 is about 89721.1937504177. The cubic root of 8049892608 is about 2004.1491038497.

The spelling of 8049892608 in words is "eight billion, forty-nine million, eight hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 433 576 768 866 1152 1299 1732 2304 2598 3464 3897 5196 6928 7794 8069 10392 13856 15588 16138 20784 24207 27712 31176 32276 41568 48414 55424 62352 64552 72621 83136 96828 110848 124704 129104 145242 166272 193656 249408 258208 290484 332544 387312 498816 516416 580968 774624 997632 1032832 1161936 1549248 2065664 2323872 3098496 3493877 4647744 6196992 6987754 9295488 10481631 13975508 18590976 20963262 27951016 31444893 41926524 55902032 62889786 83853048 111804064 125779572 167706096 223608128 251559144 335412192 447216256 503118288 670824384 894432512 1006236576 1341648768 2012473152 2683297536 4024946304 8049892608