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679091616 = 253271917729
BaseRepresentation
bin101000011110100…
…001110110100000
31202022211102120100
4220132201312200
52342321412431
6151215142400
722554116640
oct5036416640
91668742510
10679091616
11319369645
1216b514a00
13aa8cb678
1466294520
153e9424e6
hex287a1da0

679091616 has 144 divisors (see below), whose sum is σ = 2323339200. Its totient is φ = 183803904.

The previous prime is 679091587. The next prime is 679091617. The reversal of 679091616 is 616190976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6790916162 = 922330845842982912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679091617) 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 23 ways as a sum of consecutive naturals, for example, 29440 + ... + 47168.

It is an arithmetic number, because the mean of its divisors is an integer number (16134300).

Almost surely, 2679091616 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 679091616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161669600).

679091616 is an abundant number, since it is smaller than the sum of its proper divisors (1644247584).

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

679091616 is a wasteful number, since it uses less digits than its factorization.

679091616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771 (or 17760 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 679091616 is about 26059.3863319918. The cubic root of 679091616 is about 878.9741903607.

The spelling of 679091616 in words is "six hundred seventy-nine million, ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 17729 19152 35458 38304 53187 70916 106374 124103 141832 159561 212748 248206 283664 319122 336851 372309 425496 496412 567328 638244 673702 744618 850992 992824 1010553 1116927 1276488 1347404 1489236 1701984 1985648 2021106 2233854 2357957 2552976 2694808 2978472 3031659 3971296 4042212 4467708 4715914 5105952 5389616 5956944 6063318 7073871 8084424 8935416 9431828 10779232 11913888 12126636 14147742 16168848 17870832 18863656 21221613 24253272 28295484 32337696 35741664 37727312 42443226 48506544 56590968 75454624 84886452 97013088 113181936 169772904 226363872 339545808 679091616