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532363328 = 26783103139
BaseRepresentation
bin11111101110110…
…011100001000000
31101002201212012022
4133232303201000
52042241111303
6124454221012
716123004450
oct3756634100
91332655168
10532363328
112535614a2
1212a354768
13863a69b3
14509bbd60
1531b0c438
hex1fbb3840

532363328 has 112 divisors (see below), whose sum is σ = 1242608640. Its totient is φ = 221612544.

The previous prime is 532363327. The next prime is 532363343. The reversal of 532363328 is 823363235.

It is a Cunningham number, because it is equal to 230732-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (532363327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829883 + ... + 3830021.

It is an arithmetic number, because the mean of its divisors is an integer number (11094720).

Almost surely, 2532363328 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 532363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621304320).

532363328 is an abundant number, since it is smaller than the sum of its proper divisors (710245312).

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

532363328 is a wasteful number, since it uses less digits than its factorization.

532363328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 77760, while the sum is 35.

The square root of 532363328 is about 23072.9999783296. Note that the first 4 decimals coincide. The cubic root of 532363328 is about 810.4683203476.

The spelling of 532363328 in words is "five hundred thirty-two million, three hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 103 112 139 166 206 224 278 332 412 448 556 581 664 721 824 973 1112 1162 1328 1442 1648 1946 2224 2324 2656 2884 3296 3892 4448 4648 5312 5768 6592 7784 8549 8896 9296 11536 11537 14317 15568 17098 18592 23072 23074 28634 31136 34196 37184 46144 46148 57268 59843 62272 68392 80759 92296 100219 114536 119686 136784 161518 184592 200438 229072 239372 273568 323036 369184 400876 458144 478744 547136 646072 738368 801752 916288 957488 1188311 1292144 1603504 1914976 2376622 2584288 3207008 3829952 4753244 5168576 6414016 8318177 9506488 16636354 19012976 33272708 38025952 66545416 76051904 133090832 266181664 532363328