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2551648 = 25112659
BaseRepresentation
bin1001101110111101100000
311210122012111
421232331200
51123123043
6130405104
730455131
oct11567540
94718174
102551648
111493100
12a30794
136b4568
144a5c88
1535609d
hex26ef60

2551648 has 36 divisors (see below), whose sum is σ = 5530140. Its totient is φ = 1158080.

The previous prime is 2551639. The next prime is 2551651. The reversal of 2551648 is 8461552.

2551648 is nontrivially palindromic in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3543 + ... + 4201.

It is an arithmetic number, because the mean of its divisors is an integer number (153615).

22551648 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 2551648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765070).

2551648 is an abundant number, since it is smaller than the sum of its proper divisors (2978492).

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

2551648 is a wasteful number, since it uses less digits than its factorization.

2551648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 672 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 2551648 is about 1597.3878677391. The cubic root of 2551648 is about 136.6491457478.

The spelling of 2551648 in words is "two million, five hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 659 968 1318 1936 2636 3872 5272 7249 10544 14498 21088 28996 57992 79739 115984 159478 231968 318956 637912 1275824 2551648