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679959952 = 24731376779
BaseRepresentation
bin101000100001110…
…101110110010000
31202101110112200221
4220201311312100
52343032204302
6151245522424
722564364350
oct5041656620
91671415627
10679959952
11319901a81
1216b873414
13aab43989
146643cb60
153ea64937
hex28875d90

679959952 has 160 divisors (see below), whose sum is σ = 1640529920. Its totient is φ = 266872320.

The previous prime is 679959923. The next prime is 679959953. The reversal of 679959952 is 259959976.

It is not an unprimeable number, because it can be changed into a prime (679959953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8607049 + ... + 8607127.

It is an arithmetic number, because the mean of its divisors is an integer number (10253312).

Almost surely, 2679959952 is an apocalyptic number.

679959952 is a gapful number since it is divisible by the number (62) 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 679959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820264960).

679959952 is an abundant number, since it is smaller than the sum of its proper divisors (960569968).

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

679959952 is a wasteful number, since it uses less digits than its factorization.

679959952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 13778100, while the sum is 61.

The square root of 679959952 is about 26076.0417241574. The cubic root of 679959952 is about 879.3486709325.

The spelling of 679959952 in words is "six hundred seventy-nine million, nine hundred fifty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 67 74 79 112 124 134 148 158 217 248 259 268 296 316 434 469 496 518 536 553 592 632 868 938 1036 1072 1106 1147 1264 1736 1876 2072 2077 2212 2294 2449 2479 2923 3472 3752 4144 4154 4424 4588 4898 4958 5293 5846 7504 8029 8308 8848 9176 9796 9916 10586 11692 14539 16058 16616 17143 17353 18352 19592 19832 20461 21172 23384 29078 32116 33232 34286 34706 37051 39184 39664 40922 42344 46768 58156 64232 68572 69412 74102 76849 81844 84688 90613 116312 128464 137144 138824 148204 153698 163688 164083 181226 195841 232624 274288 277648 296408 307396 327376 328166 362452 391682 537943 592816 614792 634291 656332 724904 783364 1075886 1148581 1229584 1268582 1312664 1370887 1449808 1566728 2151772 2297162 2537164 2625328 2741774 3133456 4303544 4594324 5074328 5483548 6071071 8607088 9188648 10148656 10967096 12142142 18377296 21934192 24284284 42497497 48568568 84994994 97137136 169989988 339979976 679959952