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2648352 = 25372563
BaseRepresentation
bin1010000110100100100000
311222112212010
422012210200
51134221402
6132432520
731340100
oct12064440
94875763
102648352
111549823
12a78740
13719595
144cd200
15374a6c
hex286920

2648352 has 72 divisors (see below), whose sum is σ = 8101296. Its totient is φ = 755328.

The previous prime is 2648351. The next prime is 2648363. The reversal of 2648352 is 2538462.

It is a d-powerful number, because it can be written as 219 + 64 + 45 + 8 + 313 + 55 + 219 .

It is not an unprimeable number, because it can be changed into a prime (2648351) 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 11 ways as a sum of consecutive naturals, for example, 4423 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (112518).

22648352 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 2648352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050648).

2648352 is an abundant number, since it is smaller than the sum of its proper divisors (5452944).

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

2648352 is a wasteful number, since it uses less digits than its factorization.

2648352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2648352 is about 1627.3758017127. The cubic root of 2648352 is about 138.3540582810.

The spelling of 2648352 in words is "two million, six hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 563 588 672 784 1126 1176 1568 1689 2252 2352 3378 3941 4504 4704 6756 7882 9008 11823 13512 15764 18016 23646 27024 27587 31528 47292 54048 55174 63056 82761 94584 110348 126112 165522 189168 220696 331044 378336 441392 662088 882784 1324176 2648352