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533430144 = 27331331383
BaseRepresentation
bin11111110010110…
…111111110000000
31101011202001121000
4133302313332000
52043024231034
6124533132000
716135036632
oct3762677600
91334661530
10533430144
1125411aa65
1212a78a000
138668b450
1450bb8a52
1531c6d599
hex1fcb7f80

533430144 has 256 divisors, whose sum is σ = 1754726400. Its totient is φ = 158423040.

The previous prime is 533430101. The next prime is 533430169. The reversal of 533430144 is 441034335.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392577 + ... + 1392959.

It is an arithmetic number, because the mean of its divisors is an integer number (6854400).

Almost surely, 2533430144 is an apocalyptic number.

533430144 is a gapful number since it is divisible by the number (54) 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 533430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877363200).

533430144 is an abundant number, since it is smaller than the sum of its proper divisors (1221296256).

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

533430144 is a wasteful number, since it uses less digits than its factorization.

533430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 533430144 is about 23096.1066848939. The cubic root of 533430144 is about 811.0093316103.

Adding to 533430144 its reverse (441034335), we get a palindrome (974464479).

The spelling of 533430144 in words is "five hundred thirty-three million, four hundred thirty thousand, one hundred forty-four".