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189296896 = 282293229
BaseRepresentation
bin10110100100001…
…11000100000000
3111012012021112011
423102013010000
5341430000041
630441142304
74455665665
oct1322070400
9435167464
10189296896
1197942618
125348a994
13302aa6c9
141b1d7a6c
1511942e81
hexb487100

189296896 has 36 divisors (see below), whose sum is σ = 379621900. Its totient is φ = 94205952.

The previous prime is 189296893. The next prime is 189296897. The reversal of 189296896 is 698692981.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 65286400 = 11136^2 + 8080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 189296896.

It is not an unprimeable number, because it can be changed into a prime (189296893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57010 + ... + 60238.

Almost surely, 2189296896 is an apocalyptic number.

189296896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189810950).

189296896 is an abundant number, since it is smaller than the sum of its proper divisors (190325004).

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

189296896 is an equidigital number, since it uses as much as digits as its factorization.

189296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3460 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 58.

The square root of 189296896 is about 13758.5208507310. The cubic root of 189296896 is about 574.1796958299.

The spelling of 189296896 in words is "one hundred eighty-nine million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3229 3664 6458 7328 12916 14656 25832 29312 51664 58624 103328 206656 413312 739441 826624 1478882 2957764 5915528 11831056 23662112 47324224 94648448 189296896