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57052112 = 24131032663
BaseRepresentation
bin1101100110100…
…0101111010000
310222100112210012
43121220233100
5104101131422
65354454052
71261635455
oct331505720
9128315705
1057052112
112a228107
1217134328
13ba87260
14781182c
15501e4e2
hex3668bd0

57052112 has 40 divisors (see below), whose sum is σ = 120242304. Its totient is φ = 26066304.

The previous prime is 57052103. The next prime is 57052123. The reversal of 57052112 is 21125075.

It is a happy number.

57052112 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 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 7 ways as a sum of consecutive naturals, for example, 20093 + ... + 22755.

Almost surely, 257052112 is an apocalyptic number.

57052112 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 57052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121152).

57052112 is an abundant number, since it is smaller than the sum of its proper divisors (63190192).

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

57052112 is a wasteful number, since it uses less digits than its factorization.

57052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 57052112 is about 7553.2848483292. The cubic root of 57052112 is about 384.9673599135.

Adding to 57052112 its reverse (21125075), we get a palindrome (78177187).

The spelling of 57052112 in words is "fifty-seven million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 824 1339 1648 2663 2678 5326 5356 10652 10712 21304 21424 34619 42608 69238 138476 274289 276952 548578 553904 1097156 2194312 3565757 4388624 7131514 14263028 28526056 57052112