Search a number
-
+
6944672 = 257243103
BaseRepresentation
bin11010011111011110100000
3111001211022002
4122133132200
53234212142
6404503132
7113012600
oct32373640
914054262
106944672
113a136a9
1223aaaa8
131591c97
14ccac00
15922a32
hex69f7a0

6944672 has 72 divisors (see below), whose sum is σ = 16432416. Its totient is φ = 2878848.

The previous prime is 6944669. The next prime is 6944681. The reversal of 6944672 is 2764496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67373 + ... + 67475.

It is an arithmetic number, because the mean of its divisors is an integer number (228228).

Almost surely, 26944672 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 6944672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216208).

6944672 is an abundant number, since it is smaller than the sum of its proper divisors (9487744).

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

6944672 is a wasteful number, since it uses less digits than its factorization.

6944672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 6944672 is about 2635.2745587509. The cubic root of 6944672 is about 190.7877909581.

The spelling of 6944672 in words is "six million, nine hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 103 112 172 196 206 224 301 344 392 412 602 688 721 784 824 1204 1376 1442 1568 1648 2107 2408 2884 3296 4214 4429 4816 5047 5768 8428 8858 9632 10094 11536 16856 17716 20188 23072 31003 33712 35432 40376 62006 67424 70864 80752 124012 141728 161504 217021 248024 434042 496048 868084 992096 1736168 3472336 6944672