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5768480 = 255311163
BaseRepresentation
bin10110000000010100100000
3101212001212102
4112000110200
52434042410
6323345532
7100013504
oct26002440
911761772
105768480
11328aa43
121b222a8
13126c803
14aa2304
1578e2a5
hex580520

5768480 has 48 divisors (see below), whose sum is σ = 14079744. Its totient is φ = 2231040.

The previous prime is 5768479. The next prime is 5768507. The reversal of 5768480 is 848675.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4379 + ... + 5541.

It is an arithmetic number, because the mean of its divisors is an integer number (293328).

Almost surely, 25768480 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 5768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039872).

5768480 is an abundant number, since it is smaller than the sum of its proper divisors (8311264).

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

5768480 is a wasteful number, since it uses less digits than its factorization.

5768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 5768480 is about 2401.7660169134. The cubic root of 5768480 is about 179.3441150433.

The spelling of 5768480 in words is "five million, seven hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1163 1240 2326 2480 4652 4960 5815 9304 11630 18608 23260 36053 37216 46520 72106 93040 144212 180265 186080 288424 360530 576848 721060 1153696 1442120 2884240 5768480