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57942544 = 241121732
BaseRepresentation
bin1101110100001…
…0001000010000
311001000210020011
43131002020100
5104313130134
65425524304
71302334462
oct335021020
9131023204
1057942544
112a786100
12174a3694
13c00963a
1479a4132
155148264
hex3742210

57942544 has 45 divisors (see below), whose sum is σ = 124114669. Its totient is φ = 26185280.

The previous prime is 57942541. The next prime is 57942559. The reversal of 57942544 is 44524975.

The square root of 57942544 is 7612.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52707600 + 5234944 = 7260^2 + 2288^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57942497 and 57942506.

It is not an unprimeable number, because it can be changed into a prime (57942541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 334842 + ... + 335014.

Almost surely, 257942544 is an apocalyptic number.

57942544 is the 7612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57942544

57942544 is an abundant number, since it is smaller than the sum of its proper divisors (66172125).

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

57942544 is a wasteful number, since it uses less digits than its factorization.

57942544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 186 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The cubic root of 57942544 is about 386.9598028166.

Subtracting from 57942544 its reverse (44524975), we obtain a square (13417569 = 36632).

It can be divided in two parts, 5794 and 2544, that added together give a palindrome (8338).

The spelling of 57942544 in words is "fifty-seven million, nine hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 173 176 242 346 484 692 968 1384 1903 1936 2768 3806 7612 15224 20933 29929 30448 41866 59858 83732 119716 167464 239432 329219 334928 478864 658438 1316876 2633752 3621409 5267504 7242818 14485636 28971272 57942544