Search a number
-
+
1048608 = 253211331
BaseRepresentation
bin100000000000000100000
31222021102100
410000000200
5232023413
634250400
711625111
oct4000040
91867370
101048608
11656920
12426a00
132a93a2
141d4208
1515aa73
hex100020

1048608 has 72 divisors (see below), whose sum is σ = 3262896. Its totient is φ = 316800.

The previous prime is 1048601. The next prime is 1048609. The reversal of 1048608 is 8068401.

1048608 is a `hidden beast` number, since 10 + 48 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1048601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3003 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (45318).

21048608 is an apocalyptic number.

1048608 is a gapful number since it is divisible by the number (18) 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 1048608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631448).

1048608 is an abundant number, since it is smaller than the sum of its proper divisors (2214288).

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

1048608 is a wasteful number, since it uses less digits than its factorization.

1048608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1048608 is about 1024.0156248808. The cubic root of 1048608 is about 101.5947007797.

The spelling of 1048608 in words is "one million, forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 331 352 396 528 662 792 993 1056 1324 1584 1986 2648 2979 3168 3641 3972 5296 5958 7282 7944 10592 10923 11916 14564 15888 21846 23832 29128 31776 32769 43692 47664 58256 65538 87384 95328 116512 131076 174768 262152 349536 524304 1048608