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533060352 = 2835111941
BaseRepresentation
bin11111110001011…
…101101100000000
31101011001021100000
4133301131230000
52042430412402
6124521200000
716131636546
oct3761355400
91334037300
10533060352
11253998150
1212a630000
138658c036
1450b1dd96
1531be8c1c
hex1fc5db00

533060352 has 432 divisors, whose sum is σ = 1874920320. Its totient is φ = 149299200.

The previous prime is 533060317. The next prime is 533060357. The reversal of 533060352 is 253060335.

533060352 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 603 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533060357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001452 + ... + 13001492.

Almost surely, 2533060352 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 533060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937460160).

533060352 is an abundant number, since it is smaller than the sum of its proper divisors (1341859968).

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

533060352 is a wasteful number, since it uses less digits than its factorization.

533060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 533060352 is about 23088.0997918841. The cubic root of 533060352 is about 810.8218818294.

The spelling of 533060352 in words is "five hundred thirty-three million, sixty thousand, three hundred fifty-two".