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57532225 = 52372412
BaseRepresentation
bin1101101101110…
…1111101000001
311000020221101011
43123131331001
5104212012400
65413040521
71266005302
oct333357501
9130227334
1057532225
112a5258a3
1217326141
13bbc494a
1478d87a9
1550b68ba
hex36ddf41

57532225 has 27 divisors (see below), whose sum is σ = 75152091. Its totient is φ = 43689600.

The previous prime is 57532219. The next prime is 57532229. The reversal of 57532225 is 52223575.

The square root of 57532225 is 7585.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 42601729 + 14930496 = 6527^2 + 3864^2 .

It is not a de Polignac number, because 57532225 - 25 = 57532193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57532229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1403205 + ... + 1403245.

Almost surely, 257532225 is an apocalyptic number.

57532225 is the 7585-th square number.

57532225 is the 3793-rd centered octagonal number.

It is an amenable number.

57532225 is a deficient number, since it is larger than the sum of its proper divisors (17619866).

57532225 is an equidigital number, since it uses as much as digits as its factorization.

57532225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 21000, while the sum is 31.

The cubic root of 57532225 is about 386.0442220716.

The spelling of 57532225 in words is "fifty-seven million, five hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 37 41 185 205 925 1025 1369 1517 1681 6845 7585 8405 34225 37925 42025 56129 62197 280645 310985 1403225 1554925 2301289 11506445 57532225