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966836836 = 227222212
BaseRepresentation
bin111001101000001…
…100001001100100
32111101021101210201
4321220030021210
53440002234321
6235534400244
732646656200
oct7150141144
92441241721
10966836836
11456832909
1222b960084
131253c8504
1492597b00
1559d30291
hex39a0c264

966836836 has 27 divisors (see below), whose sum is σ = 1969090137. Its totient is φ = 414172080.

The previous prime is 966836833. The next prime is 966836851. The reversal of 966836836 is 638638669.

The square root of 966836836 is 31094.

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., 655667236 + 311169600 = 25606^2 + 17640^2 .

It is not an unprimeable number, because it can be changed into a prime (966836833) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 434206 + ... + 436426.

Almost surely, 2966836836 is an apocalyptic number.

966836836 is the 31094-th square number.

It is an amenable number.

966836836 is an abundant number, since it is smaller than the sum of its proper divisors (1002253301).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966836836 is an equidigital number, since it uses as much as digits as its factorization.

966836836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 2230 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The cubic root of 966836836 is about 988.8211100866.

The spelling of 966836836 in words is "nine hundred sixty-six million, eight hundred thirty-six thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 2221 4442 8884 15547 31094 62188 108829 217658 435316 4932841 9865682 19731364 34529887 69059774 138119548 241709209 483418418 966836836