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676588248 = 23337538443
BaseRepresentation
bin101000010100111…
…110101011011000
31202011010020121000
4220110332223120
52341201310443
6151045345000
722523622330
oct5024765330
91664106530
10676588248
11317a09846
1216a708160
13aa23309b
1465c020c0
153e5ea8d3
hex2853ead8

676588248 has 128 divisors (see below), whose sum is σ = 2188684800. Its totient is φ = 189641088.

The previous prime is 676588247. The next prime is 676588261. The reversal of 676588248 is 842885676.

676588248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 676588194 and 676588203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676588247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75915 + ... + 84357.

It is an arithmetic number, because the mean of its divisors is an integer number (17099100).

Almost surely, 2676588248 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 676588248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094342400).

676588248 is an abundant number, since it is smaller than the sum of its proper divisors (1512096552).

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

676588248 is a wasteful number, since it uses less digits than its factorization.

676588248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8508 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 676588248 is about 26011.3100016128. The cubic root of 676588248 is about 877.8927922261.

The spelling of 676588248 in words is "six hundred seventy-six million, five hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8443 8904 10017 11448 13356 16886 20034 25329 26712 33772 40068 50658 59101 67544 75987 80136 101316 118202 151974 177303 202632 227961 236404 303948 354606 447479 455922 472808 531909 607896 709212 894958 911844 1063818 1342437 1418424 1595727 1789916 1823688 2127636 2684874 3132353 3191454 3579832 4027311 4255272 5369748 6264706 6382908 8054622 9397059 10739496 12081933 12529412 12765816 16109244 18794118 24163866 25058824 28191177 32218488 37588236 48327732 56382354 75176472 84573531 96655464 112764708 169147062 225529416 338294124 676588248