Search a number
-
+
57436344 = 2333737987
BaseRepresentation
bin1101101100011…
…0100010111000
311000002001212000
43123012202320
5104200430334
65411021000
71265125620
oct333064270
9130061760
1057436344
112a46a859
121729a760
13bb90104
1478b1880
155098299
hex36c68b8

57436344 has 64 divisors (see below), whose sum is σ = 182342400. Its totient is φ = 16409952.

The previous prime is 57436333. The next prime is 57436349. The reversal of 57436344 is 44363475.

It is a happy number.

57436344 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 2×574363442 = 6597867224172672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57436299 and 57436308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57436349) 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, 17482 + ... + 20505.

It is an arithmetic number, because the mean of its divisors is an integer number (2849100).

Almost surely, 257436344 is an apocalyptic number.

57436344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

57436344 is an abundant number, since it is smaller than the sum of its proper divisors (124906056).

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

57436344 is a wasteful number, since it uses less digits than its factorization.

57436344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38009 (or 37999 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 57436344 is about 7578.6769293855. The cubic root of 57436344 is about 385.8296473278.

The spelling of 57436344 in words is "fifty-seven million, four hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 37987 75974 113961 151948 227922 265909 303896 341883 455844 531818 683766 797727 911688 1025649 1063636 1367532 1595454 2051298 2127272 2393181 2735064 3190908 4102596 4786362 6381816 7179543 8205192 9572724 14359086 19145448 28718172 57436344