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535216032 = 253313172803
BaseRepresentation
bin11111111001101…
…011111110100000
31101022002210101000
4133321223332200
52044003403112
6125035312000
716156155411
oct3771537640
91338083330
10535216032
1125512a7aa
1212b2ab600
1386b652a0
1451121808
1531ec27dc
hex1fe6bfa0

535216032 has 192 divisors, whose sum is σ = 1780652160. Its totient is φ = 154939392.

The previous prime is 535216021. The next prime is 535216039. The reversal of 535216032 is 230612535.

535216032 is a `hidden beast` number, since 5 + 3 + 52 + 1 + 603 + 2 = 666.

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 = 535215987 and 535216005.

It is not an unprimeable number, because it can be changed into a prime (535216039) 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 31 ways as a sum of consecutive naturals, for example, 189543 + ... + 192345.

It is an arithmetic number, because the mean of its divisors is an integer number (9274230).

Almost surely, 2535216032 is an apocalyptic number.

535216032 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 535216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890326080).

535216032 is an abundant number, since it is smaller than the sum of its proper divisors (1245436128).

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

535216032 is a wasteful number, since it uses less digits than its factorization.

535216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 535216032 is about 23134.7364800207. The cubic root of 535216032 is about 811.9133915569.

Adding to 535216032 its reverse (230612535), we get a palindrome (765828567).

The spelling of 535216032 in words is "five hundred thirty-five million, two hundred sixteen thousand, thirty-two".