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676047636 = 22321117233431
BaseRepresentation
bin101000010010111…
…010101100010100
31202010002210000100
4220102322230110
52341032011021
6151030014100
722516211235
oct5022725424
91663083010
10676047636
1131767a660
1216a4a7330
13aa0a3cb4
1465b0108c
153e540626
hex284bab14

676047636 has 144 divisors (see below), whose sum is σ = 1986985728. Its totient is φ = 191539200.

The previous prime is 676047613. The next prime is 676047643. The reversal of 676047636 is 636740676.

676047636 is a `hidden beast` number, since 6 + 7 + 6 + 0 + 4 + 7 + 636 = 666.

It is a super-2 number, since 2×6760476362 = 914080812282376992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 676047591 and 676047600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1568341 + ... + 1568771.

It is an arithmetic number, because the mean of its divisors is an integer number (13798512).

Almost surely, 2676047636 is an apocalyptic number.

676047636 is a gapful number since it is divisible by the number (66) 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 676047636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993492864).

676047636 is an abundant number, since it is smaller than the sum of its proper divisors (1310938092).

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

676047636 is a wasteful number, since it uses less digits than its factorization.

676047636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 676047636 is about 26000.9160607852. The cubic root of 676047636 is about 877.6589100279.

The spelling of 676047636 in words is "six hundred seventy-six million, forty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 233 306 374 396 431 466 561 612 699 748 862 932 1122 1293 1398 1683 1724 2097 2244 2563 2586 2796 3366 3879 3961 4194 4741 5126 5172 6732 7327 7689 7758 7922 8388 9482 10252 11883 14223 14654 15378 15516 15844 18964 21981 23067 23766 28446 29308 30756 35649 42669 43571 43962 46134 47532 56892 65943 71298 80597 85338 87142 87924 92268 100423 130713 131886 142596 161194 170676 174284 200846 241791 261426 263772 301269 322388 392139 401692 483582 522852 602538 725373 784278 903807 967164 1104653 1205076 1450746 1568556 1707191 1807614 2209306 2901492 3313959 3414382 3615228 4418612 5121573 6627918 6828764 9941877 10243146 13255836 15364719 18779101 19883754 20486292 30729438 37558202 39767508 56337303 61458876 75116404 112674606 169011909 225349212 338023818 676047636