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1285728 = 25359227
BaseRepresentation
bin100111001111001100000
32102022200120
410321321200
5312120403
643320240
713633323
oct4717140
92368616
101285728
117a8a94
12520080
133602b2
142567ba
151a5e53
hex139e60

1285728 has 48 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 419456.

The previous prime is 1285717. The next prime is 1285741. The reversal of 1285728 is 8275821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 5551 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

21285728 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 1285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1285728 is an abundant number, since it is smaller than the sum of its proper divisors (2161632).

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

1285728 is a wasteful number, since it uses less digits than its factorization.

1285728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 1285728 is about 1133.8994664431. The cubic root of 1285728 is about 108.7384239230.

The spelling of 1285728 in words is "one million, two hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 227 236 354 454 472 681 708 908 944 1362 1416 1816 1888 2724 2832 3632 5448 5664 7264 10896 13393 21792 26786 40179 53572 80358 107144 160716 214288 321432 428576 642864 1285728