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535224032 = 25719912007
BaseRepresentation
bin11111111001101…
…101111011100000
31101022010012100022
4133321231323200
52044004132112
6125035413012
716156220630
oct3771557340
91338105308
10535224032
11255135812
1212b2b4168
1386b68b15
14511246c0
1531ec4d72
hex1fe6dee0

535224032 has 48 divisors (see below), whose sum is σ = 1210406400. Its totient is φ = 228210048.

The previous prime is 535224031. The next prime is 535224037. The reversal of 535224032 is 230422535.

It is a junction number, because it is equal to n+sod(n) for n = 535223992 and 535224010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535224031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38573 + ... + 50579.

It is an arithmetic number, because the mean of its divisors is an integer number (25216800).

Almost surely, 2535224032 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 535224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605203200).

535224032 is an abundant number, since it is smaller than the sum of its proper divisors (675182368).

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

535224032 is a wasteful number, since it uses less digits than its factorization.

535224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 535224032 is about 23134.9093795502. The cubic root of 535224032 is about 811.9174368236.

Adding to 535224032 its reverse (230422535), we get a palindrome (765646567).

The spelling of 535224032 in words is "five hundred thirty-five million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2786 3184 5572 6368 11144 12007 22288 24014 44576 48028 84049 96056 168098 192112 336196 384224 672392 1344784 2389393 2689568 4778786 9557572 16725751 19115144 33451502 38230288 66903004 76460576 133806008 267612016 535224032