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2449248 = 25331823
BaseRepresentation
bin1001010101111101100000
311121102201220
421111331200
51111333443
6124255040
726550444
oct11257540
94542656
102449248
11142317a
129a1480
13679a79
1447a824
15335a83
hex255f60

2449248 has 48 divisors (see below), whose sum is σ = 6644736. Its totient is φ = 789120.

The previous prime is 2449231. The next prime is 2449259. The reversal of 2449248 is 8429442.

2449248 is digitally balanced in base 2, 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565 + ... + 3387.

It is an arithmetic number, because the mean of its divisors is an integer number (138432).

22449248 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 2449248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322368).

2449248 is an abundant number, since it is smaller than the sum of its proper divisors (4195488).

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

2449248 is a wasteful number, since it uses less digits than its factorization.

2449248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 859 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2449248 is about 1565.0073482256. The cubic root of 2449248 is about 134.7961807745.

The spelling of 2449248 in words is "two million, four hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 823 992 1488 1646 2469 2976 3292 4938 6584 9876 13168 19752 25513 26336 39504 51026 76539 79008 102052 153078 204104 306156 408208 612312 816416 1224624 2449248