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648065536 = 299713049
BaseRepresentation
bin100110101000001…
…011001000000000
31200011110010210021
4212220023020000
52311401044121
6144150143224
722026315616
oct4650131000
91604403707
10648065536
113028a8258
12161051b14
13a4357641
14620d96b6
153bd64641
hex26a0b200

648065536 has 40 divisors (see below), whose sum is σ = 1308314700. Its totient is φ = 320667648.

The previous prime is 648065533. The next prime is 648065543. The reversal of 648065536 is 635560846.

It can be written as a sum of positive squares in 2 ways, for example, as 648007936 + 57600 = 25456^2 + 240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 648065492 and 648065501.

It is not an unprimeable number, because it can be changed into a prime (648065533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43140 + ... + 56188.

Almost surely, 2648065536 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 648065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654157350).

648065536 is an abundant number, since it is smaller than the sum of its proper divisors (660249164).

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

648065536 is an equidigital number, since it uses as much as digits as its factorization.

648065536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The square root of 648065536 is about 25457.1313387821. The cubic root of 648065536 is about 865.3789138146.

It can be divided in two parts, 64 and 8065536, that added together give a square (8065600 = 28402).

The spelling of 648065536 in words is "six hundred forty-eight million, sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 3104 6208 12416 13049 24832 26098 49664 52196 104392 208784 417568 835136 1265753 1670272 2531506 3340544 5063012 6681088 10126024 20252048 40504096 81008192 162016384 324032768 648065536