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679603968 = 28321717351
BaseRepresentation
bin101000100000011…
…110111100000000
31202100210110101100
4220200132330000
52342434311333
6151234134400
722561352451
oct5040367400
91670713340
10679603968
1131968957a
1216b721400
13aaa4a934
1466389128
153e9e4213
hex2881ef00

679603968 has 108 divisors (see below), whose sum is σ = 2074848048. Its totient is φ = 213196800.

The previous prime is 679603961. The next prime is 679603993. The reversal of 679603968 is 869306976.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679603961) 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 11 ways as a sum of consecutive naturals, for example, 30493 + ... + 47843.

It is an arithmetic number, because the mean of its divisors is an integer number (19211556).

Almost surely, 2679603968 is an apocalyptic number.

679603968 is a gapful number since it is divisible by the number (68) 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 679603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037424024).

679603968 is an abundant number, since it is smaller than the sum of its proper divisors (1395244080).

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

679603968 is a wasteful number, since it uses less digits than its factorization.

679603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17390 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 679603968 is about 26069.2149479036. The cubic root of 679603968 is about 879.1951870395.

The spelling of 679603968 in words is "six hundred seventy-nine million, six hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 17351 19584 34702 39168 52053 69404 104106 138808 156159 208212 277616 294967 312318 416424 555232 589934 624636 832848 884901 1110464 1179868 1249272 1665696 1769802 2220928 2359736 2498544 2654703 3331392 3539604 4441856 4719472 4997088 5309406 6662784 7079208 9438944 9994176 10618812 13325568 14158416 18877888 19988352 21237624 28316832 37755776 39976704 42475248 56633664 75511552 84950496 113267328 169900992 226534656 339801984 679603968