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679149072 = 243271935461
BaseRepresentation
bin101000011110101…
…111111000010000
31202022221100101100
4220132233320100
52342330232242
6151220304400
722554446310
oct5036577020
91668840340
10679149072
113193a8828
1216b542100
13aa91b874
14662ab440
153e95454c
hex287afe10

679149072 has 120 divisors (see below), whose sum is σ = 2286589760. Its totient is φ = 183824640.

The previous prime is 679149047. The next prime is 679149073. The reversal of 679149072 is 270941976.

679149072 is a `hidden beast` number, since 6 + 7 + 91 + 490 + 72 = 666.

679149072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6791490722 = 922486923996922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679149073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422 + ... + 36882.

Almost surely, 2679149072 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 679149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143294880).

679149072 is an abundant number, since it is smaller than the sum of its proper divisors (1607440688).

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

679149072 is a wasteful number, since it uses less digits than its factorization.

679149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35501 (or 35492 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 679149072 is about 26060.4887137598. The cubic root of 679149072 is about 878.9989788260.

The spelling of 679149072 in words is "six hundred seventy-nine million, one hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 35461 70922 106383 141844 212766 248227 283688 319149 425532 496454 567376 638298 673759 744681 851064 992908 1276596 1347518 1489362 1702128 1985816 2021277 2234043 2553192 2695036 2978724 3971632 4042554 4468086 4716313 5106384 5390072 5957448 6063831 8085108 8936172 9432626 10780144 11914896 12127662 14148939 16170216 17872344 18865252 24255324 28297878 32340432 35744688 37730504 42446817 48510648 56595756 75461008 84893634 97021296 113191512 169787268 226383024 339574536 679149072