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5648320 = 26519929
BaseRepresentation
bin10101100010111111000000
3101121222001001
4111202333000
52421221240
6321021344
766003256
oct25427700
911558031
105648320
113208737
121a84854
131229c02
14a705d6
1576889a
hex562fc0

5648320 has 56 divisors (see below), whose sum is σ = 14173200. Its totient is φ = 2138112.

The previous prime is 5648297. The next prime is 5648329. The reversal of 5648320 is 238465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648329) by changing a digit.

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, 5616 + ... + 6544.

Almost surely, 25648320 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 5648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086600).

5648320 is an abundant number, since it is smaller than the sum of its proper divisors (8524880).

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

5648320 is a wasteful number, since it uses less digits than its factorization.

5648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5648320 is about 2376.6194478713. The cubic root of 5648320 is about 178.0900945249.

The spelling of 5648320 in words is "five million, six hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 929 1216 1520 1858 3040 3716 4645 6080 7432 9290 14864 17651 18580 29728 35302 37160 59456 70604 74320 88255 141208 148640 176510 282416 297280 353020 564832 706040 1129664 1412080 2824160 5648320