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57561141 = 3113156267
BaseRepresentation
bin1101101110010…
…1000000110101
311000022102001010
43123211000311
5104213424031
65413422433
71266155511
oct333450065
9130272033
1057561141
112a5455a0
121733aa19
13bc04b61
147905141
1550c0246
hex36e5035

57561141 has 16 divisors (see below), whose sum is σ = 86427648. Its totient is φ = 33759600.

The previous prime is 57561139. The next prime is 57561149. The reversal of 57561141 is 14116575.

57561141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57561141 - 21 = 57561139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57561099 and 57561108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57561149) 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, 27111 + ... + 29156.

It is an arithmetic number, because the mean of its divisors is an integer number (5401728).

Almost surely, 257561141 is an apocalyptic number.

It is an amenable number.

57561141 is a deficient number, since it is larger than the sum of its proper divisors (28866507).

57561141 is a wasteful number, since it uses less digits than its factorization.

57561141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56312.

The product of its digits is 4200, while the sum is 30.

The square root of 57561141 is about 7586.9058910731. The cubic root of 57561141 is about 386.1088871938.

It can be divided in two parts, 575 and 61141, that added together give a palindrome (61716).

The spelling of 57561141 in words is "fifty-seven million, five hundred sixty-one thousand, one hundred forty-one".

Divisors: 1 3 11 31 33 93 341 1023 56267 168801 618937 1744277 1856811 5232831 19187047 57561141