Search a number
-
+
6944256 = 293211137
BaseRepresentation
bin11010011111011000000000
3111001210201200
4122133120000
53234204011
6404501200
7113011434
oct32373000
914053650
106944256
113a13360
1223aa800
131591a37
14cca9c4
15922856
hex69f600

6944256 has 120 divisors (see below), whose sum is σ = 22023144. Its totient is φ = 2088960.

The previous prime is 6944243. The next prime is 6944257. The reversal of 6944256 is 6524496.

6944256 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6944256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6944257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50620 + ... + 50756.

Almost surely, 26944256 is an apocalyptic number.

6944256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011572).

6944256 is an abundant number, since it is smaller than the sum of its proper divisors (15078888).

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

6944256 is a wasteful number, since it uses less digits than its factorization.

6944256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 6944256 is about 2635.1956284117. The cubic root of 6944256 is about 190.7839813563.

It can be divided in two parts, 694425 and 6, that added together give a triangular number (694431 = T1178).

The spelling of 6944256 in words is "six million, nine hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 137 144 176 192 198 256 264 274 288 352 384 396 411 512 528 548 576 704 768 792 822 1056 1096 1152 1233 1408 1507 1536 1584 1644 2112 2192 2304 2466 2816 3014 3168 3288 4224 4384 4521 4608 4932 5632 6028 6336 6576 8448 8768 9042 9864 12056 12672 13152 13563 16896 17536 18084 19728 24112 25344 26304 27126 35072 36168 39456 48224 50688 52608 54252 70144 72336 78912 96448 105216 108504 144672 157824 192896 210432 217008 289344 315648 385792 434016 578688 631296 771584 868032 1157376 1736064 2314752 3472128 6944256