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648686336 = 2897151173
BaseRepresentation
bin100110101010100…
…010101100000000
31200012121200100212
4212222202230000
52312030430321
6144211333252
722034512544
oct4652425400
91605550325
10648686336
11303191711
121612b1228
13a451408c
146221ba24
153be3855b
hex26aa2b00

648686336 has 72 divisors (see below), whose sum is σ = 1324462944. Its totient is φ = 317030400.

The previous prime is 648686333. The next prime is 648686341. The reversal of 648686336 is 633686846.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (648686333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749546 + ... + 3749718.

Almost surely, 2648686336 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 648686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662231472).

648686336 is an abundant number, since it is smaller than the sum of its proper divisors (675776608).

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

648686336 is a wasteful number, since it uses less digits than its factorization.

648686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The square root of 648686336 is about 25469.3214672083. The cubic root of 648686336 is about 865.6551491382.

The spelling of 648686336 in words is "six hundred forty-eight million, six hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 97 128 151 173 194 256 302 346 388 604 692 776 1208 1384 1552 2416 2768 3104 4832 5536 6208 9664 11072 12416 14647 16781 19328 22144 24832 26123 29294 33562 38656 44288 52246 58588 67124 104492 117176 134248 208984 234352 268496 417968 468704 536992 835936 937408 1073984 1671872 1874816 2147968 2533931 3343744 3749632 4295936 5067862 6687488 10135724 20271448 40542896 81085792 162171584 324343168 648686336