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533250432 = 27331113283
BaseRepresentation
bin11111110010001…
…100000110000000
31101011101221002000
4133302030012000
52043003003212
6124525224000
716133360661
oct3762140600
91334357060
10533250432
11254007a40
1212a702000
1386627700
1450b6d368
1531c351dc
hex1fc8c180

533250432 has 384 divisors, whose sum is σ = 1881532800. Its totient is φ = 147363840.

The previous prime is 533250413. The next prime is 533250433. The reversal of 533250432 is 234052335.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 533250396 and 533250405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533250433) 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, 6424663 + ... + 6424745.

It is an arithmetic number, because the mean of its divisors is an integer number (4899825).

Almost surely, 2533250432 is an apocalyptic number.

533250432 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 533250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940766400).

533250432 is an abundant number, since it is smaller than the sum of its proper divisors (1348282368).

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

533250432 is a wasteful number, since it uses less digits than its factorization.

533250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

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

The square root of 533250432 is about 23092.2158313142. The cubic root of 533250432 is about 810.9182453446.

The spelling of 533250432 in words is "five hundred thirty-three million, two hundred fifty thousand, four hundred thirty-two".