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5728040 = 235891609
BaseRepresentation
bin10101110110011100101000
3101210000101122
4111312130220
52431244130
6322434412
766454553
oct25663450
911700348
105728040
11326261a
121b02a08
131257296
14a9169a
157822e5
hex576728

5728040 has 32 divisors (see below), whose sum is σ = 13041000. Its totient is φ = 2264064.

The previous prime is 5728027. The next prime is 5728043. The reversal of 5728040 is 408275.

It can be written as a sum of positive squares in 4 ways, for example, as 5189284 + 538756 = 2278^2 + 734^2 .

It is not an unprimeable number, because it can be changed into a prime (5728043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2756 + ... + 4364.

Almost surely, 25728040 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 5728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520500).

5728040 is an abundant number, since it is smaller than the sum of its proper divisors (7312960).

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

5728040 is a wasteful number, since it uses less digits than its factorization.

5728040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5728040 is about 2393.3324048280. The cubic root of 5728040 is about 178.9240338055.

The spelling of 5728040 in words is "five million, seven hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1609 1780 3218 3560 6436 8045 12872 16090 32180 64360 143201 286402 572804 716005 1145608 1432010 2864020 5728040