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6449056728 = 2333138922283
BaseRepresentation
bin1100000000110010…
…01100101111011000
3121122110001000200220
412000121030233120
5101201424303403
62543533400040
7315546035442
oct60031145730
917573030626
106449056728
11280a362854
1212bb939020
137ba1252ca
14452703492
1527b28b953
hex18064cbd8

6449056728 has 64 divisors (see below), whose sum is σ = 16686259200. Its totient is φ = 2074899840.

The previous prime is 6449056727. The next prime is 6449056753. The reversal of 6449056728 is 8276509446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6449056721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278275 + ... + 300557.

It is an arithmetic number, because the mean of its divisors is an integer number (260722800).

Almost surely, 26449056728 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 6449056728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343129600).

6449056728 is an abundant number, since it is smaller than the sum of its proper divisors (10237202472).

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

6449056728 is a wasteful number, since it uses less digits than its factorization.

6449056728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22712 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 6449056728 is about 80306.0192513612. The cubic root of 6449056728 is about 1861.3672384593.

The spelling of 6449056728 in words is "six billion, four hundred forty-nine million, fifty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 389 744 778 1167 1556 2334 3112 4668 9336 12059 22283 24118 36177 44566 48236 66849 72354 89132 96472 133698 144708 178264 267396 289416 534792 690773 1381546 2072319 2763092 4144638 5526184 8289276 8668087 16578552 17336174 26004261 34672348 52008522 69344696 104017044 208034088 268710697 537421394 806132091 1074842788 1612264182 2149685576 3224528364 6449056728