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6442048 = 261731191
BaseRepresentation
bin11000100100110001000000
3110010021211101
4120210301000
53122121143
6350024144
7105520324
oct30446100
913107741
106442048
113700008
1221a8054
131447282
14bd9984
15873b4d
hex624c40

6442048 has 56 divisors (see below), whose sum is σ = 14045184. Its totient is φ = 2918400.

The previous prime is 6442039. The next prime is 6442049. The reversal of 6442048 is 8402446.

It is not an unprimeable number, because it can be changed into a prime (6442049) 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 7 ways as a sum of consecutive naturals, for example, 33633 + ... + 33823.

Almost surely, 26442048 is an apocalyptic number.

6442048 is a gapful number since it is divisible by the number (68) 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 6442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022592).

6442048 is an abundant number, since it is smaller than the sum of its proper divisors (7603136).

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

6442048 is a wasteful number, since it uses less digits than its factorization.

6442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 6442048 is about 2538.1189885425. The cubic root of 6442048 is about 186.0692693014.

It can be divided in two parts, 644204 and 8, that multiplied together give a 5-th power (5153632 = 225).

The spelling of 6442048 in words is "six million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 191 248 272 382 496 527 544 764 992 1054 1088 1528 1984 2108 3056 3247 4216 5921 6112 6494 8432 11842 12224 12988 16864 23684 25976 33728 47368 51952 94736 100657 103904 189472 201314 207808 378944 402628 805256 1610512 3221024 6442048