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57200241 = 3719232271
BaseRepresentation
bin1101101000110…
…0111001110001
310222122001222110
43122030321301
5104120401431
65401555533
71263123360
oct332147161
9128561873
1057200241
112a31942a
12171a5ba9
13bb097c7
14784d7d7
15504d346
hex368ce71

57200241 has 48 divisors (see below), whose sum is σ = 96266240. Its totient is φ = 29509920.

The previous prime is 57200183. The next prime is 57200263. The reversal of 57200241 is 14200275.

It is not a de Polignac number, because 57200241 - 29 = 57199729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210936 + ... + 211206.

Almost surely, 257200241 is an apocalyptic number.

It is an amenable number.

57200241 is a deficient number, since it is larger than the sum of its proper divisors (39065999).

57200241 is a wasteful number, since it uses less digits than its factorization.

57200241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 57200241 is about 7563.0840931461. The cubic root of 57200241 is about 385.3002459154.

The spelling of 57200241 in words is "fifty-seven million, two hundred thousand, two hundred forty-one".

Divisors: 1 3 7 19 21 23 57 69 133 161 271 399 437 483 529 813 1311 1587 1897 3059 3703 5149 5691 6233 9177 10051 11109 15447 18699 30153 36043 43631 70357 108129 118427 130893 143359 211071 355281 430077 828989 1003513 2486967 2723821 3010539 8171463 19066747 57200241