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557136 = 24325373
BaseRepresentation
bin10001000000001010000
31001022020200
42020001100
5120312021
615535200
74510206
oct2100120
91038220
10557136
11350648
1222a500
13166788
14107076
15b0126
hex88050

557136 has 60 divisors (see below), whose sum is σ = 1610388. Its totient is φ = 179712.

The previous prime is 557093. The next prime is 557153. The reversal of 557136 is 631755.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 197136 = 600^2 + 444^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

557136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7596 + ... + 7668.

2557136 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 557136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805194).

557136 is an abundant number, since it is smaller than the sum of its proper divisors (1053252).

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

557136 is a wasteful number, since it uses less digits than its factorization.

557136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 557136 is about 746.4154339240. The cubic root of 557136 is about 82.2849495630.

The spelling of 557136 in words is "five hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 73 106 144 146 159 212 219 292 318 424 438 477 584 636 657 848 876 954 1168 1272 1314 1752 1908 2544 2628 3504 3816 3869 5256 7632 7738 10512 11607 15476 23214 30952 34821 46428 61904 69642 92856 139284 185712 278568 557136