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57535225 = 52111731397
BaseRepresentation
bin1101101101111…
…0101011111001
311000021002111021
43123132223321
5104212111400
65413102441
71266020116
oct333365371
9130232437
1057535225
112a528080
1217327a21
13bbc6117
1478d990d
1550b771a
hex36deaf9

57535225 has 48 divisors (see below), whose sum is σ = 85280256. Its totient is φ = 38016000.

The previous prime is 57535201. The next prime is 57535241. The reversal of 57535225 is 52253575.

It is not a de Polignac number, because 57535225 - 29 = 57534713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144727 + ... + 145123.

It is an arithmetic number, because the mean of its divisors is an integer number (1776672).

Almost surely, 257535225 is an apocalyptic number.

57535225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57535225 is a deficient number, since it is larger than the sum of its proper divisors (27745031).

57535225 is a wasteful number, since it uses less digits than its factorization.

57535225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its digits is 52500, while the sum is 34.

The square root of 57535225 is about 7585.1977561564. The cubic root of 57535225 is about 386.0509320070.

The spelling of 57535225 in words is "fifty-seven million, five hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 31 55 85 155 187 275 341 397 425 527 775 935 1705 1985 2635 4367 4675 5797 6749 8525 9925 12307 13175 21835 28985 33745 61535 74239 109175 135377 144925 168725 209219 307675 371195 676885 1046095 1855975 2301409 3384425 5230475 11507045 57535225