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532247040 = 29325131777
BaseRepresentation
bin11111101110010…
…111001000000000
31101002111221200100
4133232113020000
52042223401130
6124451522400
716122011433
oct3756271000
91332457610
10532247040
11253492096
1212a2b9400
1386365aa0
145098b81a
1531ad7c60
hex1fb97200

532247040 has 240 divisors, whose sum is σ = 1986232248. Its totient is φ = 130940928.

The previous prime is 532247017. The next prime is 532247047. The reversal of 532247040 is 40742235.

532247040 is a `hidden beast` number, since 532 + 24 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334450944 + 197796096 = 18288^2 + 14064^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 532246995 and 532247013.

It is not an unprimeable number, because it can be changed into a prime (532247047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298632 + ... + 300408.

Almost surely, 2532247040 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 532247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993116124).

532247040 is an abundant number, since it is smaller than the sum of its proper divisors (1453985208).

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

532247040 is a wasteful number, since it uses less digits than its factorization.

532247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 532247040 is about 23070.4798389630. The cubic root of 532247040 is about 810.4093038837.

Adding to 532247040 its reverse (40742235), we get a palindrome (572989275).

The spelling of 532247040 in words is "five hundred thirty-two million, two hundred forty-seven thousand, forty".