Search a number
-
+
6468968 = 2311195373
BaseRepresentation
bin11000101011010101101000
3110011122202102
4120223111220
53124001333
6350352532
7105661652
oct30532550
913148672
106468968
113719260
1221bb748
1314565bc
14c056d2
1587bae8
hex62b568

6468968 has 64 divisors (see below), whose sum is σ = 14385600. Its totient is φ = 2695680.

The previous prime is 6468967. The next prime is 6468971. The reversal of 6468968 is 8698646.

Its product of digits (497664) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (6468967) 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 15 ways as a sum of consecutive naturals, for example, 88580 + ... + 88652.

It is an arithmetic number, because the mean of its divisors is an integer number (224775).

Almost surely, 26468968 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 6468968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7192800).

6468968 is an abundant number, since it is smaller than the sum of its proper divisors (7916632).

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

6468968 is a wasteful number, since it uses less digits than its factorization.

6468968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 6468968 is about 2543.4165997728. The cubic root of 6468968 is about 186.3280909116.

The spelling of 6468968 in words is "six million, four hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 53 73 76 88 106 146 152 209 212 292 418 424 583 584 803 836 1007 1166 1387 1606 1672 2014 2332 2774 3212 3869 4028 4664 5548 6424 7738 8056 11077 11096 15257 15476 22154 30514 30952 42559 44308 61028 73511 85118 88616 122056 147022 170236 294044 340472 588088 808621 1617242 3234484 6468968