Search a number
-
+
1049856 = 2831367
BaseRepresentation
bin100000000010100000000
31222100010120
410000110000
5232043411
634300240
711631543
oct4002400
91870116
101049856
11657855
12427680
132a9b22
141d485a
1515b106
hex100500

1049856 has 36 divisors (see below), whose sum is σ = 2796192. Its totient is φ = 349696.

The previous prime is 1049849. The next prime is 1049857. The reversal of 1049856 is 6589401.

It is a super-2 number, since 2×10498562 = 2204395241472, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

21049856 is an apocalyptic number.

1049856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398096).

1049856 is an abundant number, since it is smaller than the sum of its proper divisors (1746336).

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

1049856 is an equidigital number, since it uses as much as digits as its factorization.

1049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1049856 is about 1024.6248093815. The cubic root of 1049856 is about 101.6349890857.

The spelling of 1049856 in words is "one million, forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1367 2734 4101 5468 8202 10936 16404 21872 32808 43744 65616 87488 131232 174976 262464 349952 524928 1049856