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6226048 = 27127383
BaseRepresentation
bin10111110000000010000000
3102201022112101
4113300002000
53043213143
6341240144
7103630513
oct27600200
912638471
106226048
1135727a4
122103054
13139cb6a
14b80d7a
1582eb4d
hex5f0080

6226048 has 32 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 3080448.

The previous prime is 6226021. The next prime is 6226049. The reversal of 6226048 is 8406226.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (6226049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16065 + ... + 16447.

It is an arithmetic number, because the mean of its divisors is an integer number (391680).

Almost surely, 26226048 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 6226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266880).

6226048 is an abundant number, since it is smaller than the sum of its proper divisors (6307712).

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

6226048 is a wasteful number, since it uses less digits than its factorization.

6226048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6226048 is about 2495.2050015981. The cubic root of 6226048 is about 183.9659672406.

It can be divided in two parts, 622 and 6048, that added together give a triangular number (6670 = T115).

The spelling of 6226048 in words is "six million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 383 508 766 1016 1532 2032 3064 4064 6128 8128 12256 16256 24512 48641 49024 97282 194564 389128 778256 1556512 3113024 6226048