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4530500 = 2253131741
BaseRepresentation
bin10001010010000101000100
322112011200022
4101102011010
52124434000
6241034312
753336312
oct21220504
98464608
104530500
112614917
121625998
13c28190
1485d0b2
155e7585
hex452144

4530500 has 96 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 1536000.

The previous prime is 4530499. The next prime is 4530503. The reversal of 4530500 is 50354.

It can be written as a sum of positive squares in 16 ways, for example, as 4268356 + 262144 = 2066^2 + 512^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (4530503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110480 + ... + 110520.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 24530500 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 4530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

4530500 is an abundant number, since it is smaller than the sum of its proper divisors (7027228).

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

4530500 is a wasteful number, since it uses less digits than its factorization.

4530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 4530500 is about 2128.4971223847. The cubic root of 4530500 is about 165.4685183956.

Adding to 4530500 its reverse (50354), we get a palindrome (4580854).

The spelling of 4530500 in words is "four million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 41 50 52 65 68 82 85 100 125 130 164 170 205 221 250 260 325 340 410 425 442 500 533 650 697 820 850 884 1025 1066 1105 1300 1394 1625 1700 2050 2125 2132 2210 2665 2788 3250 3485 4100 4250 4420 5125 5330 5525 6500 6970 8500 9061 10250 10660 11050 13325 13940 17425 18122 20500 22100 26650 27625 34850 36244 45305 53300 55250 66625 69700 87125 90610 110500 133250 174250 181220 226525 266500 348500 453050 906100 1132625 2265250 4530500