Search a number
-
+
57741112 = 231113172969
BaseRepresentation
bin1101110001000…
…0111100111000
311000122112220201
43130100330320
5104240203422
65421331544
71300535302
oct334207470
9130575821
1057741112
112a658830
1217406bb4
13bc68a50
147950972
155108727
hex3710f38

57741112 has 64 divisors (see below), whose sum is σ = 134719200. Its totient is φ = 22794240.

The previous prime is 57741107. The next prime is 57741113. The reversal of 57741112 is 21114775.

57741112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57741113) by changing a digit.

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, 17964 + ... + 20932.

Almost surely, 257741112 is an apocalyptic number.

57741112 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 57741112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359600).

57741112 is an abundant number, since it is smaller than the sum of its proper divisors (76978088).

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

57741112 is a wasteful number, since it uses less digits than its factorization.

57741112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its digits is 1960, while the sum is 28.

The square root of 57741112 is about 7598.7572668167. The cubic root of 57741112 is about 386.5108719698.

Adding to 57741112 its reverse (21114775), we get a palindrome (78855887).

It can be divided in two parts, 5774 and 1112, that added together give a palindrome (6886).

The spelling of 57741112 in words is "fifty-seven million, seven hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 2969 4862 5938 9724 11876 19448 23752 32659 38597 50473 65318 77194 100946 130636 154388 201892 261272 308776 403784 424567 555203 656149 849134 1110406 1312298 1698268 2220812 2624596 3396536 4441624 5249192 7217639 14435278 28870556 57741112