Search a number
-
+
2086048 = 25194773
BaseRepresentation
bin111111101010010100000
310220222112001
413331102200
51013223143
6112413344
723505526
oct7752240
93828461
102086048
1111a5308
12847254
13580663
143c4316
152b314d
hex1fd4a0

2086048 has 48 divisors (see below), whose sum is σ = 4475520. Its totient is φ = 953856.

The previous prime is 2086043. The next prime is 2086079. The reversal of 2086048 is 8406802.

It is not an unprimeable number, because it can be changed into a prime (2086043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28540 + ... + 28612.

It is an arithmetic number, because the mean of its divisors is an integer number (93240).

22086048 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 2086048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237760).

2086048 is an abundant number, since it is smaller than the sum of its proper divisors (2389472).

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

2086048 is a wasteful number, since it uses less digits than its factorization.

2086048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2086048 is about 1444.3157549511. The cubic root of 2086048 is about 127.7736886460.

It can be divided in two parts, 20 and 86048, that added together give a palindrome (86068).

The spelling of 2086048 in words is "two million, eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 38 47 73 76 94 146 152 188 292 304 376 584 608 752 893 1168 1387 1504 1786 2336 2774 3431 3572 5548 6862 7144 11096 13724 14288 22192 27448 28576 44384 54896 65189 109792 130378 260756 521512 1043024 2086048