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6258048 = 27343379
BaseRepresentation
bin10111110111110110000000
3102202221102120
4113313312000
53100224143
6342044240
7104123016
oct27676600
912687376
106258048
113594845
122119680
1313b15b4
14b8c8b6
15839383
hex5f7d80

6258048 has 64 divisors (see below), whose sum is σ = 17054400. Its totient is φ = 2032128.

The previous prime is 6258041. The next prime is 6258067. The reversal of 6258048 is 8408526.

6258048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6258041) 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 7 ways as a sum of consecutive naturals, for example, 16323 + ... + 16701.

It is an arithmetic number, because the mean of its divisors is an integer number (266475).

Almost surely, 26258048 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 6258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527200).

6258048 is an abundant number, since it is smaller than the sum of its proper divisors (10796352).

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

6258048 is a wasteful number, since it uses less digits than its factorization.

6258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6258048 is about 2501.6090821709. The cubic root of 6258048 is about 184.2806052478.

The spelling of 6258048 in words is "six million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 379 384 516 688 758 1032 1137 1376 1516 2064 2274 2752 3032 4128 4548 5504 6064 8256 9096 12128 16297 16512 18192 24256 32594 36384 48512 48891 65188 72768 97782 130376 145536 195564 260752 391128 521504 782256 1043008 1564512 2086016 3129024 6258048