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575532 = 2233732
BaseRepresentation
bin10001100100000101100
31002020111000
42030200230
5121404112
620200300
74614636
oct2144054
91066430
10575532
11363451
12239090
13171c69
1410da56
15b57dc
hex8c82c

575532 has 36 divisors (see below), whose sum is σ = 1512840. Its totient is φ = 189216.

The previous prime is 575513. The next prime is 575551. The reversal of 575532 is 235575.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (575513) and next prime (575551).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 575496 and 575505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7848 + ... + 7920.

2575532 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 575532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756420).

575532 is an abundant number, since it is smaller than the sum of its proper divisors (937308).

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

575532 is a wasteful number, since it uses less digits than its factorization.

575532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 78 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 575532 is about 758.6382537152. The cubic root of 575532 is about 83.1808125749.

Multiplying 575532 by its sum of digits (27), we get a square (15539364 = 39422).

575532 divided by its sum of digits (27) gives a square (21316 = 1462).

The spelling of 575532 in words is "five hundred seventy-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 5329 7884 10658 15987 21316 31974 47961 63948 95922 143883 191844 287766 575532