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679477216 = 251117271419
BaseRepresentation
bin101000011111111…
…111111111100000
31202100120000111211
4220133333333200
52342421232331
6151231315504
722560314065
oct5037777740
91670500454
10679477216
11319602320
1216b67bb94
13aaa05032
1466354c6c
153e9bb8b1
hex287fffe0

679477216 has 96 divisors (see below), whose sum is σ = 1554577920. Its totient is φ = 288921600.

The previous prime is 679477177. The next prime is 679477223. The reversal of 679477216 is 612774976.

It is a super-2 number, since 2×6794772162 = 923378574126221312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 679477216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621455 + ... + 1621873.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2679477216 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 679477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777288960).

679477216 is an abundant number, since it is smaller than the sum of its proper divisors (875100704).

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

679477216 is a wasteful number, since it uses less digits than its factorization.

679477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 889056, while the sum is 49.

The square root of 679477216 is about 26066.7837678529. The cubic root of 679477216 is about 879.1405244799.

The spelling of 679477216 in words is "six hundred seventy-nine million, four hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 271 272 352 374 419 542 544 748 838 1084 1496 1676 2168 2981 2992 3352 4336 4607 4609 5962 5984 6704 7123 8672 9214 9218 11924 13408 14246 18428 18436 23848 28492 36856 36872 47696 50677 56984 73712 73744 78353 95392 101354 113549 113968 147424 147488 156706 202708 227098 227936 313412 405416 454196 626824 810832 908392 1249039 1253648 1621664 1816784 1930333 2498078 2507296 3633568 3860666 4996156 7721332 9992312 15442664 19984624 21233663 30885328 39969248 42467326 61770656 84934652 169869304 339738608 679477216