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523432530 = 23451494337
BaseRepresentation
bin11111001100101…
…111001001010010
31100110221010110000
4133030233021102
52032444320110
6123534550430
715654050235
oct3714571122
91313833400
10523432530
11249511675
12127368416
138459a9ba
144d73541c
1530e461c0
hex1f32f252

523432530 has 80 divisors (see below), whose sum is σ = 1417224600. Its totient is φ = 138613248.

The previous prime is 523432529. The next prime is 523432531. The reversal of 523432530 is 35234325.

It is an interprime number because it is at equal distance from previous prime (523432529) and next prime (523432531).

It can be written as a sum of positive squares in 4 ways, for example, as 143065521 + 380367009 = 11961^2 + 19503^2 .

It is a super-2 number, since 2×5234325302 = 547963226924401800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 523432494 and 523432503.

It is not an unprimeable number, because it can be changed into a prime (523432531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118522 + ... + 122858.

Almost surely, 2523432530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523432530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708612300).

523432530 is an abundant number, since it is smaller than the sum of its proper divisors (893792070).

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

523432530 is a wasteful number, since it uses less digits than its factorization.

523432530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 523432530 is about 22878.6479058532. The cubic root of 523432530 is about 805.9106652050.

Adding to 523432530 its reverse (35234325), we get a palindrome (558666855).

The spelling of 523432530 in words is "five hundred twenty-three million, four hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4337 4470 6705 8046 8674 12069 13011 13410 20115 21685 24138 26022 39033 40230 43370 60345 65055 78066 117099 120690 130110 195165 234198 351297 390330 585495 646213 702594 1170990 1292426 1756485 1938639 3231065 3512970 3877278 5815917 6462130 9693195 11631834 17447751 19386390 29079585 34895502 52343253 58159170 87238755 104686506 174477510 261716265 523432530