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57640807225 = 52480172
BaseRepresentation
bin110101101011101010…
…001110101100111001
312111210002100101200001
4311223222032230321
51421022021312400
642251350313001
74110251530441
oct655352165471
9174702311601
1057640807225
1122499807671
12b207958761
135587a5b631
142b0b417121
15177558ca6a
hexd6ba8eb39

57640807225 has 9 divisors (see below), whose sum is σ = 71476089517. Its totient is φ = 46111685440.

The previous prime is 57640807201. The next prime is 57640807241. The reversal of 57640807225 is 52270804675.

The square root of 57640807225 is 240085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13475262889 + 44165544336 = 116083^2 + 210156^2 .

It is not a de Polignac number, because 57640807225 - 213 = 57640799033 is a prime.

It is a super-2 number, since 2×576408072252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1176417 + ... + 1224433.

Almost surely, 257640807225 is an apocalyptic number.

57640807225 is the 240085-th square number.

57640807225 is the 120043-rd centered octagonal number.

It is an amenable number.

57640807225 is a deficient number, since it is larger than the sum of its proper divisors (13835282292).

57640807225 is an frugal number, since it uses more digits than its factorization.

57640807225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96044 (or 48022 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 57640807225 in words is "fifty-seven billion, six hundred forty million, eight hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 25 48017 240085 1200425 2305632289 11528161445 57640807225