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533053440 = 214335241
BaseRepresentation
bin11111110001011…
…100000000000000
31101011000220212000
4133301130000000
52042430202230
6124521104000
716131610443
oct3761340000
91334026760
10533053440
11253992a37
1212a628000
1386588b4a
1450b1b65a
1531be6b60
hex1fc5c000

533053440 has 240 divisors, whose sum is σ = 1903107360. Its totient is φ = 141557760.

The previous prime is 533053429. The next prime is 533053447. The reversal of 533053440 is 44350335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (533053447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211720 + ... + 2211960.

It is an arithmetic number, because the mean of its divisors is an integer number (7929614).

Almost surely, 2533053440 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 533053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951553680).

533053440 is an abundant number, since it is smaller than the sum of its proper divisors (1370053920).

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

533053440 is an equidigital number, since it uses as much as digits as its factorization.

533053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 533053440 is about 23087.9501038962. The cubic root of 533053440 is about 810.8183772699.

The spelling of 533053440 in words is "five hundred thirty-three million, fifty-three thousand, four hundred forty".