Search a number
-
+
57742126 = 21337193311
BaseRepresentation
bin1101110001000…
…1001100101110
311000122121022021
43130101030232
5104240222001
65421340354
71300541251
oct334211456
9130577267
1057742126
112a659572
12174076ba
13bc69350
147951098
155108ba1
hex371132e

57742126 has 32 divisors (see below), whose sum is σ = 96602688. Its totient is φ = 25712640.

The previous prime is 57742117. The next prime is 57742133. The reversal of 57742126 is 62124775.

57742126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×577421262 = 6668306229999752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 57742091 and 57742100.

It is a congruent number.

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, 185511 + ... + 185821.

It is an arithmetic number, because the mean of its divisors is an integer number (3018834).

Almost surely, 257742126 is an apocalyptic number.

57742126 is a deficient number, since it is larger than the sum of its proper divisors (38860562).

57742126 is a wasteful number, since it uses less digits than its factorization.

57742126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its digits is 23520, while the sum is 34.

The square root of 57742126 is about 7598.8239879602. The cubic root of 57742126 is about 386.5131344810.

The spelling of 57742126 in words is "fifty-seven million, seven hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 13 26 37 74 193 311 386 481 622 962 2509 4043 5018 7141 8086 11507 14282 23014 60023 92833 120046 149591 185666 299182 780299 1560598 2220851 4441702 28871063 57742126