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676245864 = 23372432311
BaseRepresentation
bin101000010011101…
…011000101101000
31202010110211221010
4220103223011220
52341104331424
6151034143520
722520665200
oct5023530550
91663424833
10676245864
113177a5588
1216a581ba0
13aa1432a8
1465b53400
153e57e229
hex284eb168

676245864 has 144 divisors (see below), whose sum is σ = 2019906720. Its totient is φ = 188112960.

The previous prime is 676245863. The next prime is 676245877. The reversal of 676245864 is 468542676.

Its product of digits (1935360) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (676245863) 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 35 ways as a sum of consecutive naturals, for example, 2174269 + ... + 2174579.

It is an arithmetic number, because the mean of its divisors is an integer number (14027130).

Almost surely, 2676245864 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 676245864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009953360).

676245864 is an abundant number, since it is smaller than the sum of its proper divisors (1343660856).

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

676245864 is a wasteful number, since it uses less digits than its factorization.

676245864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 366 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 676245864 is about 26004.7277240120. The cubic root of 676245864 is about 877.7446828639.

The spelling of 676245864 in words is "six hundred seventy-six million, two hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 311 344 392 516 588 602 622 903 933 1032 1176 1204 1244 1806 1849 1866 2107 2177 2408 2488 3612 3698 3732 4214 4354 5547 6321 6531 7224 7396 7464 8428 8708 11094 12642 12943 13062 13373 14792 15239 16856 17416 22188 25284 25886 26124 26746 30478 38829 40119 44376 45717 50568 51772 52248 53492 60956 77658 80238 90601 91434 93611 103544 106984 121912 155316 160476 181202 182868 187222 271803 280833 310632 320952 362404 365736 374444 543606 561666 575039 655277 724808 748888 1087212 1123332 1150078 1310554 1725117 1965831 2174424 2246664 2300156 2621108 3450234 3931662 4025273 4600312 5242216 6900468 7863324 8050546 12075819 13800936 15726648 16101092 24151638 28176911 32202184 48303276 56353822 84530733 96606552 112707644 169061466 225415288 338122932 676245864