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8048096 = 257193161
BaseRepresentation
bin11110101100110111100000
3120010212220122
4132230313200
54030014341
6444255412
7125256560
oct36546740
916125818
108048096
1145a7721
122841568
13188a2b4
1410d6da0
15a8e94b
hex7acde0

8048096 has 96 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 3110400.

The previous prime is 8048083. The next prime is 8048099. The reversal of 8048096 is 6908408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131906 + ... + 131966.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 28048096 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 8048096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

8048096 is an abundant number, since it is smaller than the sum of its proper divisors (11950624).

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

8048096 is a wasteful number, since it uses less digits than its factorization.

8048096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8048096 is about 2836.9166360681. The cubic root of 8048096 is about 200.3999994688.

The spelling of 8048096 in words is "eight million, forty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 61 62 76 112 122 124 133 152 217 224 244 248 266 304 427 434 488 496 532 589 608 854 868 976 992 1064 1159 1178 1708 1736 1891 1952 2128 2318 2356 3416 3472 3782 4123 4256 4636 4712 6832 6944 7564 8113 8246 9272 9424 13237 13664 15128 16226 16492 18544 18848 26474 30256 32452 32984 35929 37088 52948 60512 64904 65968 71858 105896 129808 131936 143716 211792 251503 259616 287432 423584 503006 574864 1006012 1149728 2012024 4024048 8048096