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57545357 = 17191631093
BaseRepresentation
bin1101101110000…
…1001010001101
311000021121101112
43123201022031
5104212422412
65413221405
71266061502
oct333411215
9130247345
1057545357
112a534751
1217331865
13bbca90c
1478dd4a9
1550ba722
hex36e128d

57545357 has 16 divisors (see below), whose sum is σ = 64589760. Its totient is φ = 50948352.

The previous prime is 57545303. The next prime is 57545359. The reversal of 57545357 is 75354575.

57545357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57545357 is a prime.

It is a super-2 number, since 2×575453572 = 6622936224514898, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57545359) 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, 52103 + ... + 53195.

It is an arithmetic number, because the mean of its divisors is an integer number (4036860).

Almost surely, 257545357 is an apocalyptic number.

57545357 is the 6194-th pentagonal number.

It is an amenable number.

57545357 is a deficient number, since it is larger than the sum of its proper divisors (7044403).

57545357 is a wasteful number, since it uses less digits than its factorization.

57545357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292.

The product of its digits is 367500, while the sum is 41.

The square root of 57545357 is about 7585.8656065079. The cubic root of 57545357 is about 386.0735919714.

It can be divided in two parts, 5754 and 5357, that added together give a palindrome (11111).

The spelling of 57545357 in words is "fifty-seven million, five hundred forty-five thousand, three hundred fifty-seven".

Divisors: 1 17 19 163 323 1093 2771 3097 18581 20767 52649 178159 353039 3028703 3385021 57545357