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8955783225 = 36527012
BaseRepresentation
bin10000101011100111…
…00110100000111001
3212010010212221000000
420111303212200321
5121320140030400
64040401303213
7434634621114
oct102563464071
925103787000
108955783225
113886340544
12189b334b09
13ac956b31c
1460d5c557b
15376395600
hex215ce6839

8955783225 has 63 divisors (see below), whose sum is σ = 16673925949. Its totient is φ = 4769604000.

The previous prime is 8955783203. The next prime is 8955783281. The reversal of 8955783225 is 5223875598.

The square root of 8955783225 is 94635.

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

8955783225 is a `hidden beast` number, since 8 + 9 + 557 + 83 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607671801 + 8348111424 = 24651^2 + 91368^2 .

It is not a de Polignac number, because 8955783225 - 29 = 8955782713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12775375 + ... + 12776075.

Almost surely, 28955783225 is an apocalyptic number.

8955783225 is the 94635-th square number.

8955783225 is the 47318-th centered octagonal number.

It is an amenable number.

8955783225 is a deficient number, since it is larger than the sum of its proper divisors (7718142724).

8955783225 is an frugal number, since it uses more digits than its factorization.

8955783225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 709 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The cubic root of 8955783225 is about 2076.6717625401.

The spelling of 8955783225 in words is "eight billion, nine hundred fifty-five million, seven hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 701 729 1215 2025 2103 3505 3645 6075 6309 10515 17525 18225 18927 31545 52575 56781 94635 157725 170343 283905 473175 491401 511029 851715 1419525 1474203 2457005 2555145 4258575 4422609 7371015 12285025 12775725 13267827 22113045 36855075 39803481 66339135 110565225 119410443 199017405 331695675 358231329 597052215 995087025 1791156645 2985261075 8955783225