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527630532 = 22311131916183
BaseRepresentation
bin11111011100110…
…000000011000100
31100202211102000120
4133130300003010
52040033134112
6124204541540
716034533302
oct3734600304
91322742016
10527630532
112509196a0
121288518b0
138540a720
1450109272
15314c4e8c
hex1f7300c4

527630532 has 96 divisors (see below), whose sum is σ = 1522590720. Its totient is φ = 139812480.

The previous prime is 527630527. The next prime is 527630563. The reversal of 527630532 is 235036725.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 527630493 and 527630502.

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 31 ways as a sum of consecutive naturals, for example, 24513 + ... + 40695.

It is an arithmetic number, because the mean of its divisors is an integer number (15860320).

Almost surely, 2527630532 is an apocalyptic number.

527630532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527630532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761295360).

527630532 is an abundant number, since it is smaller than the sum of its proper divisors (994960188).

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

527630532 is a wasteful number, since it uses less digits than its factorization.

527630532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16233 (or 16231 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 527630532 is about 22970.2096638233. The cubic root of 527630532 is about 808.0594362872.

The spelling of 527630532 in words is "five hundred twenty-seven million, six hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 741 836 858 988 1254 1482 1716 2508 2717 2964 5434 8151 10868 16183 16302 32366 32604 48549 64732 97098 178013 194196 210379 307477 356026 420758 534039 614954 631137 712052 841516 922431 1068078 1229908 1262274 1844862 2136156 2314169 2524548 3382247 3689724 3997201 4628338 6764494 6942507 7994402 9256676 10146741 11991603 13528988 13885014 15988804 20293482 23983206 27770028 40586964 43969211 47966412 87938422 131907633 175876844 263815266 527630532