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532601568 = 253617279
BaseRepresentation
bin11111101111101…
…101101011100000
31101010011222000000
4133233231223200
52042321222233
6124503300000
716125016152
oct3757555340
91333158000
10532601568
11253704494
1212a44a600
138645b275
1450a40ad2
1531b57d13
hex1fbedae0

532601568 has 252 divisors, whose sum is σ = 1691177040. Its totient is φ = 164975616.

The previous prime is 532601561. The next prime is 532601579. The reversal of 532601568 is 865106235.

532601568 is a `hidden beast` number, since 5 + 32 + 60 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532601561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 6741753 + ... + 6741831.

It is an arithmetic number, because the mean of its divisors is an integer number (6711020).

Almost surely, 2532601568 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 532601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845588520).

532601568 is an abundant number, since it is smaller than the sum of its proper divisors (1158575472).

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

532601568 is an equidigital number, since it uses as much as digits as its factorization.

532601568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 532601568 is about 23078.1621451969. The cubic root of 532601568 is about 810.5892009359.

The spelling of 532601568 in words is "five hundred thirty-two million, six hundred one thousand, five hundred sixty-eight".