Search a number
-
+
576142112 = 25713672953
BaseRepresentation
bin100010010101110…
…011101100100000
31111011010001101202
4202111303230200
52134443021422
6133100420332
720164061420
oct4225635440
91434101352
10576142112
11276243107
12140b476a8
13924944c0
1456736480
15358a8b92
hex22573b20

576142112 has 96 divisors (see below), whose sum is σ = 1417352832. Its totient is φ = 224446464.

The previous prime is 576142081. The next prime is 576142153. The reversal of 576142112 is 211241675.

It is a super-3 number, since 3×5761421123 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193628 + ... + 196580.

It is an arithmetic number, because the mean of its divisors is an integer number (14764092).

Almost surely, 2576142112 is an apocalyptic number.

576142112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708676416).

576142112 is an abundant number, since it is smaller than the sum of its proper divisors (841210720).

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

576142112 is a wasteful number, since it uses less digits than its factorization.

576142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3042 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 576142112 is about 24002.9604840736. The cubic root of 576142112 is about 832.1019506478.

Adding to 576142112 its reverse (211241675), we get a palindrome (787383787).

The spelling of 576142112 in words is "five hundred seventy-six million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 91 104 112 134 182 208 224 268 364 416 469 536 728 871 938 1072 1456 1742 1876 2144 2912 2953 3484 3752 5906 6097 6968 7504 11812 12194 13936 15008 20671 23624 24388 27872 38389 41342 47248 48776 76778 82684 94496 97552 153556 165368 195104 197851 268723 307112 330736 395702 537446 614224 661472 791404 1074892 1228448 1384957 1582808 2149784 2572063 2769914 3165616 4299568 5144126 5539828 6331232 8599136 10288252 11079656 18004441 20576504 22159312 36008882 41153008 44318624 72017764 82306016 144035528 288071056 576142112