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57193253 = 13171371889
BaseRepresentation
bin1101101000101…
…1001100100101
310222121201101122
43122023030211
5104120141003
65401503325
71263064115
oct332131445
9128551348
1057193253
112a314157
12171a1b45
13bb06580
14784b045
15504b238
hex368b325

57193253 has 16 divisors (see below), whose sum is σ = 65726640. Its totient is φ = 49299456.

The previous prime is 57193247. The next prime is 57193259. The reversal of 57193253 is 35239175.

It is a happy number.

57193253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57193247) and next prime (57193259).

It can be written as a sum of positive squares in 8 ways, for example, as 9409 + 57183844 = 97^2 + 7562^2 .

It is not a de Polignac number, because 57193253 - 26 = 57193189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57193259) 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, 29333 + ... + 31221.

It is an arithmetic number, because the mean of its divisors is an integer number (4107915).

Almost surely, 257193253 is an apocalyptic number.

It is an amenable number.

57193253 is a deficient number, since it is larger than the sum of its proper divisors (8533387).

57193253 is a wasteful number, since it uses less digits than its factorization.

57193253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056.

The product of its digits is 28350, while the sum is 35.

The square root of 57193253 is about 7562.6220981879. The cubic root of 57193253 is about 385.2845549106.

The spelling of 57193253 in words is "fifty-seven million, one hundred ninety-three thousand, two hundred fifty-three".

Divisors: 1 13 17 137 221 1781 1889 2329 24557 30277 32113 258793 417469 3364309 4399481 57193253