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575232 = 2837107
BaseRepresentation
bin10001100011100000000
31002020001220
42030130000
5121401412
620155040
74614030
oct2143400
91066056
10575232
113631a9
12238a80
13171a98
1410d8c0
15b568c
hex8c700

575232 has 72 divisors (see below), whose sum is σ = 1766016. Its totient is φ = 162816.

The previous prime is 575231. The next prime is 575243. The reversal of 575232 is 232575.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 56 + 7 + 22 + 56 + 39 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5323 + ... + 5429.

It is an arithmetic number, because the mean of its divisors is an integer number (24528).

2575232 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 575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008).

575232 is an abundant number, since it is smaller than the sum of its proper divisors (1190784).

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

575232 is a wasteful number, since it uses less digits than its factorization.

575232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 575232 is about 758.4405052474. The cubic root of 575232 is about 83.1663572067.

The spelling of 575232 in words is "five hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 642 672 749 768 856 896 1284 1344 1498 1712 1792 2247 2568 2688 2996 3424 4494 5136 5376 5992 6848 8988 10272 11984 13696 17976 20544 23968 27392 35952 41088 47936 71904 82176 95872 143808 191744 287616 575232