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528042306 = 231146011
BaseRepresentation
bin11111011110010…
…100100101000010
31100210121022212110
4133132110211002
52040134323211
6124221440150
716041166641
oct3736244502
91323538773
10528042306
11251080000
12128a10056
1385522c8c
14501b5358
1531556ea6
hex1f794942

528042306 has 40 divisors (see below), whose sum is σ = 1161879120. Its totient is φ = 159986200.

The previous prime is 528042293. The next prime is 528042311. The reversal of 528042306 is 603240825.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84841 + ... + 90851.

It is an arithmetic number, because the mean of its divisors is an integer number (29046978).

Almost surely, 2528042306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528042306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580939560).

528042306 is an abundant number, since it is smaller than the sum of its proper divisors (633836814).

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

528042306 is an equidigital number, since it uses as much as digits as its factorization.

528042306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 528042306 is about 22979.1711338769. The cubic root of 528042306 is about 808.2695905050.

It can be divided in two parts, 5280 and 42306, that added together give a triangular number (47586 = T308).

The spelling of 528042306 in words is "five hundred twenty-eight million, forty-two thousand, three hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 6011 7986 12022 14641 18033 29282 36066 43923 66121 87846 132242 198363 396726 727331 1454662 2181993 4363986 8000641 16001282 24001923 48003846 88007051 176014102 264021153 528042306