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8763768225 = 3252794
BaseRepresentation
bin10000010100101110…
…00111110110100001
3211121202120112221100
420022113013312201
5120422011040400
64005341545013
7430113541452
oct101227076641
924552515840
108763768225
113797a11863
121846b75169
13a9884b694
145d1cc1129
153645b7100
hex20a5c7da1

8763768225 has 45 divisors (see below), whose sum is σ = 15898124723. Its totient is φ = 4614845040.

The previous prime is 8763768197. The next prime is 8763768241. The reversal of 8763768225 is 5228673678.

The square root of 8763768225 is 93615.

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

It can be written as a sum of positive squares in only one way, i.e., 3154956561 + 5608811664 = 56169^2 + 74892^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 8763768225 - 233 = 173833633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 110933736 + ... + 110933814.

Almost surely, 28763768225 is an apocalyptic number.

8763768225 is the 93615-th square number.

8763768225 is the 46808-th centered octagonal number.

It is an amenable number.

8763768225 is a deficient number, since it is larger than the sum of its proper divisors (7134356498).

8763768225 is an frugal number, since it uses more digits than its factorization.

8763768225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 87 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The cubic root of 8763768225 is about 2061.7228984277.

The spelling of 8763768225 in words is "eight billion, seven hundred sixty-three million, seven hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 79 225 237 395 711 1185 1975 3555 5925 6241 17775 18723 31205 56169 93615 156025 280845 468075 493039 1404225 1479117 2465195 4437351 7395585 12325975 22186755 36977925 38950081 110933775 116850243 194750405 350550729 584251215 973752025 1752753645 2921256075 8763768225