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5327532 = 2238729
BaseRepresentation
bin10100010100101010101100
3101000200000000
4110110222230
52330440112
6310104300
763166110
oct24245254
911020000
105327532
113009721
12194b090
131146bb2
149c9740
157037dc
hex514aac

5327532 has 108 divisors (see below), whose sum is σ = 16532880. Its totient is φ = 1469664.

The previous prime is 5327527. The next prime is 5327537. The reversal of 5327532 is 2357235.

5327532 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5327527) and next prime (5327537).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-3 number, since 3×53275323 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 5327496 and 5327505.

It is not an unprimeable number, because it can be changed into a prime (5327537) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183694 + ... + 183722.

Almost surely, 25327532 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 5327532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266440).

5327532 is an abundant number, since it is smaller than the sum of its proper divisors (11205348).

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

5327532 is an equidigital number, since it uses as much as digits as its factorization.

5327532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 5327532 is about 2308.1447095016. The cubic root of 5327532 is about 174.6527208207.

The spelling of 5327532 in words is "five million, three hundred twenty-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 729 756 783 812 972 1044 1134 1218 1458 1566 1701 1827 2187 2268 2349 2436 2916 3132 3402 3654 4374 4698 5103 5481 6561 6804 7047 7308 8748 9396 10206 10962 13122 14094 15309 16443 20412 21141 21924 26244 28188 30618 32886 42282 45927 49329 61236 63423 65772 84564 91854 98658 126846 147987 183708 190269 197316 253692 295974 380538 443961 591948 761076 887922 1331883 1775844 2663766 5327532