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90828108 = 22337317379
BaseRepresentation
bin1010110100111…
…10110101001100
320022220112202000
411122132311030
5141222444413
613002432300
72152011660
oct532366514
9208815660
1090828108
11472a7558
1226502690
1315a81b57
14c0c48a0
157e92073
hex569ed4c

90828108 has 96 divisors (see below), whose sum is σ = 270681600. Its totient is φ = 25800768.

The previous prime is 90828107. The next prime is 90828121. The reversal of 90828108 is 80182809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90828103) 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, 239463 + ... + 239841.

It is an arithmetic number, because the mean of its divisors is an integer number (2819600).

Almost surely, 290828108 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 90828108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135340800).

90828108 is an abundant number, since it is smaller than the sum of its proper divisors (179853492).

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

90828108 is a wasteful number, since it uses less digits than its factorization.

90828108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 90828108 is about 9530.3781666836. The cubic root of 90828108 is about 449.5107571738.

It can be divided in two parts, 90828 and 108, that multiplied together give a square (9809424 = 31322).

The spelling of 90828108 in words is "ninety million, eight hundred twenty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 317 378 379 634 756 758 951 1137 1268 1516 1902 2219 2274 2653 2853 3411 3804 4438 4548 5306 5706 6657 6822 7959 8559 8876 10233 10612 11412 13314 13644 15918 17118 19971 20466 23877 26628 31836 34236 39942 40932 47754 59913 71631 79884 95508 119826 120143 143262 239652 240286 286524 360429 480572 720858 841001 1081287 1441716 1682002 2162574 2523003 3243861 3364004 4325148 5046006 6487722 7569009 10092012 12975444 15138018 22707027 30276036 45414054 90828108