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8803130625 = 36541392
BaseRepresentation
bin10000011001011010…
…10001110100000001
3211201111122101000000
420030231101310001
5121012100140000
64013305350213
7431102242602
oct101455216401
924644571000
108803130625
113808157373
121858198369
13aa3a50c43
145d7209da9
15367c90000
hex20cb51d01

8803130625 has 105 divisors (see below), whose sum is σ = 16612551813. Its totient is φ = 4661226000.

The previous prime is 8803130593. The next prime is 8803130639. The reversal of 8803130625 is 5260313088.

The square root of 8803130625 is 93825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 690165441 + 8112965184 = 26271^2 + 90072^2 .

It is not a de Polignac number, because 8803130625 - 25 = 8803130593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8803130625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 63331806 + ... + 63331944.

Almost surely, 28803130625 is an apocalyptic number.

8803130625 is the 93825-th square number.

8803130625 is the 46913-rd centered octagonal number.

It is an amenable number.

8803130625 is a deficient number, since it is larger than the sum of its proper divisors (7809421188).

8803130625 is an frugal number, since it uses more digits than its factorization.

8803130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 8803130625 is about 2064.8050262753.

Multiplying 8803130625 by its sum of digits (36), we get a square (316912702500 = 5629502).

The spelling of 8803130625 in words is "eight billion, eight hundred three million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 139 225 243 375 405 417 625 675 695 729 1125 1215 1251 1875 2025 2085 3375 3475 3645 3753 5625 6075 6255 10125 10425 11259 16875 17375 18225 18765 19321 30375 31275 33777 50625 52125 56295 57963 86875 91125 93825 96605 101331 151875 156375 168885 173889 260625 281475 289815 455625 469125 483025 506655 521667 781875 844425 869445 1407375 1449075 1565001 2345625 2415125 2533275 2608335 4222125 4347225 4695003 7036875 7245375 7825005 12075625 12666375 13041675 14085009 21110625 21736125 23475015 36226875 39125025 63331875 65208375 70425045 108680625 117375075 195625125 326041875 352125225 586875375 978125625 1760626125 2934376875 8803130625