Search a number
-
+
648208 = 241129127
BaseRepresentation
bin10011110010000010000
31012221011201
42132100100
5131220313
621520544
75336551
oct2362020
91187151
10648208
11403010
12273154
13199072
1412c328
15cc0dd
hex9e410

648208 has 40 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 282240.

The previous prime is 648199. The next prime is 648211. The reversal of 648208 is 802846.

It is a super-2 number, since 2×6482082 = 840347222528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5041 + ... + 5167.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2648208 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 648208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

648208 is an abundant number, since it is smaller than the sum of its proper divisors (780272).

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

648208 is a wasteful number, since it uses less digits than its factorization.

648208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 648208 is about 805.1136565728. The cubic root of 648208 is about 86.5442321141.

The spelling of 648208 in words is "six hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 127 176 232 254 319 464 508 638 1016 1276 1397 2032 2552 2794 3683 5104 5588 7366 11176 14732 22352 29464 40513 58928 81026 162052 324104 648208