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30852450 = 232521737109
BaseRepresentation
bin111010110110…
…0010101100010
32011001110121100
41311230111202
530344234300
63021135230
7523145556
oct165542542
964043540
1030852450
11164629a2
12a3ba516
136512cb5
144151866
152a96700
hex1d6c562

30852450 has 144 divisors (see below), whose sum is σ = 90965160. Its totient is φ = 7464960.

The previous prime is 30852449. The next prime is 30852463. The reversal of 30852450 is 5425803.

It can be written as a sum of positive squares in 12 ways, for example, as 13638249 + 17214201 = 3693^2 + 4149^2 .

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 71 ways as a sum of consecutive naturals, for example, 282996 + ... + 283104.

Almost surely, 230852450 is an apocalyptic number.

30852450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30852450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482580).

30852450 is an abundant number, since it is smaller than the sum of its proper divisors (60112710).

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

30852450 is a wasteful number, since it uses less digits than its factorization.

30852450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 30852450 is about 5554.4981771534. The cubic root of 30852450 is about 313.6388737841.

The spelling of 30852450 in words is "thirty million, eight hundred fifty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 37 45 50 51 74 75 85 90 102 109 111 150 153 170 185 218 222 225 255 306 327 333 370 425 450 510 545 555 629 654 666 765 850 925 981 1090 1110 1258 1275 1530 1635 1665 1850 1853 1887 1962 2550 2725 2775 3145 3270 3330 3706 3774 3825 4033 4905 5450 5550 5559 5661 6290 7650 8066 8175 8325 9265 9435 9810 11118 11322 12099 15725 16350 16650 16677 18530 18870 20165 24198 24525 27795 28305 31450 33354 36297 40330 46325 47175 49050 55590 56610 60495 68561 72594 83385 92650 94350 100825 120990 137122 138975 141525 166770 181485 201650 205683 277950 283050 302475 342805 362970 411366 416925 604950 617049 685610 833850 907425 1028415 1234098 1714025 1814850 2056830 3085245 3428050 5142075 6170490 10284150 15426225 30852450