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2578048 = 27111831
BaseRepresentation
bin1001110101011010000000
311211222102021
421311122000
51124444143
6131131224
730625114
oct11653200
94758367
102578048
111500a20
12a43b14
136c3595
144b1744
1535dced
hex275680

2578048 has 32 divisors (see below), whose sum is σ = 5605920. Its totient is φ = 1171200.

The previous prime is 2578031. The next prime is 2578057. The reversal of 2578048 is 8408752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493 + ... + 2323.

It is an arithmetic number, because the mean of its divisors is an integer number (175185).

22578048 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 2578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802960).

2578048 is an abundant number, since it is smaller than the sum of its proper divisors (3027872).

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

2578048 is a wasteful number, since it uses less digits than its factorization.

2578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 2578048 is about 1605.6300943866. The cubic root of 2578048 is about 137.1187986898.

The spelling of 2578048 in words is "two million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1831 3662 7324 14648 20141 29296 40282 58592 80564 117184 161128 234368 322256 644512 1289024 2578048