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679946016 = 25361671733
BaseRepresentation
bin101000100001110…
…010011100100000
31202101102211120210
4220201302130200
52343031233031
6151245334120
722564305621
oct5041623440
91671384523
10679946016
113198a2562
1216b867340
13aab3a529
1466437a48
153ea60746
hex28872720

679946016 has 96 divisors (see below), whose sum is σ = 1842257088. Its totient is φ = 219479040.

The previous prime is 679945997. The next prime is 679946021. The reversal of 679946016 is 610649976.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 391486 + ... + 393218.

It is an arithmetic number, because the mean of its divisors is an integer number (19190178).

Almost surely, 2679946016 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 679946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921128544).

679946016 is an abundant number, since it is smaller than the sum of its proper divisors (1162311072).

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

679946016 is a wasteful number, since it uses less digits than its factorization.

679946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 679946016 is about 26075.7745043172. The cubic root of 679946016 is about 879.3426633792.

The spelling of 679946016 in words is "six hundred seventy-nine million, nine hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 67 96 122 134 183 201 244 268 366 402 488 536 732 804 976 1072 1464 1608 1733 1952 2144 2928 3216 3466 4087 5199 5856 6432 6932 8174 10398 12261 13864 16348 20796 24522 27728 32696 41592 49044 55456 65392 83184 98088 105713 116111 130784 166368 196176 211426 232222 317139 348333 392352 422852 464444 634278 696666 845704 928888 1268556 1393332 1691408 1857776 2537112 2786664 3382816 3715552 5074224 5573328 7082771 10148448 11146656 14165542 21248313 28331084 42496626 56662168 84993252 113324336 169986504 226648672 339973008 679946016