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6896448 = 263313307
BaseRepresentation
bin11010010011101101000000
3110222101011000
4122103231000
53231141243
6403452000
7112422156
oct32235500
913871130
106896448
113990449
122387000
131576050
14cb73d6
159135d3
hex693b40

6896448 has 112 divisors (see below), whose sum is σ = 21904960. Its totient is φ = 2115072.

The previous prime is 6896447. The next prime is 6896453. The reversal of 6896448 is 8446986.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6896447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22311 + ... + 22617.

It is an arithmetic number, because the mean of its divisors is an integer number (195580).

Almost surely, 26896448 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 6896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952480).

6896448 is an abundant number, since it is smaller than the sum of its proper divisors (15008512).

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

6896448 is a wasteful number, since it uses less digits than its factorization.

6896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6896448 is about 2626.1089086327. The cubic root of 6896448 is about 190.3451528578.

The spelling of 6896448 in words is "six million, eight hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 307 312 351 416 432 468 576 614 624 702 832 864 921 936 1228 1248 1404 1728 1842 1872 2456 2496 2763 2808 3684 3744 3991 4912 5526 5616 7368 7488 7982 8289 9824 11052 11232 11973 14736 15964 16578 19648 22104 22464 23946 29472 31928 33156 35919 44208 47892 58944 63856 66312 71838 88416 95784 107757 127712 132624 143676 176832 191568 215514 255424 265248 287352 383136 431028 530496 574704 766272 862056 1149408 1724112 2298816 3448224 6896448