Search a number
-
+
6764992 = 261347173
BaseRepresentation
bin11001110011100111000000
3110201200211021
4121303213000
53212434432
6400555224
7111334003
oct31634700
913650737
106764992
113900703
122322b14
13152b270
14c8153a
158d9697
hex6739c0

6764992 has 56 divisors (see below), whose sum is σ = 14849856. Its totient is φ = 3038208.

The previous prime is 6764981. The next prime is 6764993. The reversal of 6764992 is 2994676.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6764993) 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 7 ways as a sum of consecutive naturals, for example, 39018 + ... + 39190.

It is an arithmetic number, because the mean of its divisors is an integer number (265176).

Almost surely, 26764992 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 6764992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424928).

6764992 is an abundant number, since it is smaller than the sum of its proper divisors (8084864).

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

6764992 is a wasteful number, since it uses less digits than its factorization.

6764992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 6764992 is about 2600.9598228346. The cubic root of 6764992 is about 189.1279705910.

The spelling of 6764992 in words is "six million, seven hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 173 188 208 346 376 416 611 692 752 832 1222 1384 1504 2249 2444 2768 3008 4498 4888 5536 8131 8996 9776 11072 16262 17992 19552 32524 35984 39104 65048 71968 105703 130096 143936 211406 260192 422812 520384 845624 1691248 3382496 6764992