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883218961 = 11322632
BaseRepresentation
bin110100101001001…
…101101000010001
32021112221011122101
4310221031220101
53302101001321
6223350240401
730613144252
oct6451155021
92245834571
10883218961
11413610529
12207956101
13110c9c491
148542cb29
1552814791
hex34a4da11

883218961 has 9 divisors (see below), whose sum is σ = 894505339. Its totient is φ = 872074336.

The previous prime is 883218949. The next prime is 883218979. The reversal of 883218961 is 169812388.

The square root of 883218961 is 29719.

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., 15563025 + 867655936 = 3945^2 + 29456^2 .

It is a de Polignac number, because none of the positive numbers 2k-883218961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (883218361) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3358116 + ... + 3358378.

Almost surely, 2883218961 is an apocalyptic number.

883218961 is the 29719-th square number.

883218961 is the 14860-th centered octagonal number.

It is an amenable number.

883218961 is a deficient number, since it is larger than the sum of its proper divisors (11286378).

883218961 is an frugal number, since it uses more digits than its factorization.

883218961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The cubic root of 883218961 is about 959.4509885324.

The spelling of 883218961 in words is "eight hundred eighty-three million, two hundred eighteen thousand, nine hundred sixty-one".

Divisors: 1 113 263 12769 29719 69169 3358247 7816097 883218961