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575968 = 2541439
BaseRepresentation
bin10001100100111100000
31002021002011
42030213200
5121412333
620202304
74616131
oct2144740
91067064
10575968
11363808
12239394
13172213
1410dc88
15b59cd
hex8c9e0

575968 has 24 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 280320.

The previous prime is 575963. The next prime is 575987. The reversal of 575968 is 869575.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 575968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1093 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2575968 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 575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582120).

575968 is an abundant number, since it is smaller than the sum of its proper divisors (588272).

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

575968 is a wasteful number, since it uses less digits than its factorization.

575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 575968 is about 758.9255562965. The cubic root of 575968 is about 83.2018120907.

The spelling of 575968 in words is "five hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 439 656 878 1312 1756 3512 7024 14048 17999 35998 71996 143992 287984 575968