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57355257 = 3592511291
BaseRepresentation
bin1101101011001…
…0101111111001
310222220221121210
43122302233321
5104140332012
65405153333
71264340331
oct332625771
9128827553
1057355257
112a414943
121725b849
13bb6222b
1478900c1
15507e23c
hex36b2bf9

57355257 has 16 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 37410000.

The previous prime is 57355247. The next prime is 57355267. The reversal of 57355257 is 75255375.

It is an interprime number because it is at equal distance from previous prime (57355247) and next prime (57355267).

It is not a de Polignac number, because 57355257 - 210 = 57354233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57355247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43782 + ... + 45072.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 257355257 is an apocalyptic number.

It is an amenable number.

57355257 is a deficient number, since it is larger than the sum of its proper divisors (20784903).

57355257 is a wasteful number, since it uses less digits than its factorization.

57355257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604.

The product of its digits is 183750, while the sum is 39.

The square root of 57355257 is about 7573.3253594442. The cubic root of 57355257 is about 385.6479940355.

The spelling of 57355257 in words is "fifty-seven million, three hundred fifty-five thousand, two hundred fifty-seven".

Divisors: 1 3 59 177 251 753 1291 3873 14809 44427 76169 228507 324041 972123 19118419 57355257