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189833984 = 283472137
BaseRepresentation
bin10110101000010…
…10001100000000
3111020012120021022
423110022030000
5342044141414
630500445012
74463363564
oct1324121400
9436176238
10189833984
119817a09a
12536a9768
1330438002
141b2d76a4
15119ec18e
hexb50a300

189833984 has 36 divisors (see below), whose sum is σ = 380196264. Its totient is φ = 94599168.

The previous prime is 189833983. The next prime is 189833999. The reversal of 189833984 is 489338981.

189833984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (189833983) 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, 87764 + ... + 89900.

Almost surely, 2189833984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190098132).

189833984 is an abundant number, since it is smaller than the sum of its proper divisors (190362280).

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

189833984 is an equidigital number, since it uses as much as digits as its factorization.

189833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2486 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The square root of 189833984 is about 13778.0254027927. The cubic root of 189833984 is about 574.7222189454.

The spelling of 189833984 in words is "one hundred eighty-nine million, eight hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 347 694 1388 2137 2776 4274 5552 8548 11104 17096 22208 34192 44416 68384 88832 136768 273536 547072 741539 1483078 2966156 5932312 11864624 23729248 47458496 94916992 189833984