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490049728 = 26710710223
BaseRepresentation
bin11101001101011…
…001000011000000
31021011010002211221
4131031121003000
52000423042403
6120343244424
715100232260
oct3515310300
91234102757
10490049728
11231690683
12118149714
137a6b006c
14491257a0
152d04edbd
hex1d3590c0

490049728 has 56 divisors (see below), whose sum is σ = 1121859072. Its totient is φ = 208038144.

The previous prime is 490049711. The next prime is 490049731. The reversal of 490049728 is 827940094.

It is a tau number, because it is divible by the number of its divisors (56).

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, 42825 + ... + 53047.

Almost surely, 2490049728 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 490049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560929536).

490049728 is an abundant number, since it is smaller than the sum of its proper divisors (631809344).

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

490049728 is a wasteful number, since it uses less digits than its factorization.

490049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 490049728 is about 22137.0668337068. The cubic root of 490049728 is about 788.4001849582.

The spelling of 490049728 in words is "four hundred ninety million, forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2996 3424 5992 6848 10223 11984 20446 23968 40892 47936 71561 81784 143122 163568 286244 327136 572488 654272 1093861 1144976 2187722 2289952 4375444 4579904 7657027 8750888 15314054 17501776 30628108 35003552 61256216 70007104 122512432 245024864 490049728