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679919688 = 2332724392
BaseRepresentation
bin101000100001101…
…100000001001000
31202101101111110200
4220201230001020
52343024412223
6151245012200
722564136100
oct5041540110
91671344420
10679919688
113198847a8
1216b854060
13aab2b556
146642c200
153ea57a43
hex2886c048

679919688 has 108 divisors (see below), whose sum is σ = 2146984515. Its totient is φ = 193820256.

The previous prime is 679919677. The next prime is 679919689. The reversal of 679919688 is 886919976.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 339959844 + 339959844 = 18438^2 + 18438^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=18438.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (679919689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1548573 + ... + 1549011.

Almost surely, 2679919688 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 679919688

679919688 is an abundant number, since it is smaller than the sum of its proper divisors (1467064827).

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

679919688 is a wasteful number, since it uses less digits than its factorization.

679919688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 451 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The square root of 679919688 is about 26075.2696630351. The cubic root of 679919688 is about 879.3313136388.

The spelling of 679919688 in words is "six hundred seventy-nine million, nine hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 439 441 504 588 878 882 1176 1317 1756 1764 2634 3073 3512 3528 3951 5268 6146 7902 9219 10536 12292 15804 18438 21511 24584 27657 31608 36876 43022 55314 64533 73752 86044 110628 129066 172088 192721 193599 221256 258132 385442 387198 516264 578163 770884 774396 1156326 1349047 1541768 1548792 1734489 2312652 2698094 3468978 4047141 4625304 5396188 6937956 8094282 9443329 10792376 12141423 13875912 16188564 18886658 24282846 28329987 32377128 37773316 48565692 56659974 75546632 84989961 97131384 113319948 169979922 226639896 339959844 679919688