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189066856 = 231121731129
BaseRepresentation
bin10110100010011…
…10111001101000
3111011202120222011
423101032321220
5341400114411
630432205304
74454020216
oct1321167150
9434676864
10189066856
11977a5800
1253399834
1330229aa4
141b177cb6
15118e9c21
hexb44ee68

189066856 has 48 divisors (see below), whose sum is σ = 392256900. Its totient is φ = 85367040.

The previous prime is 189066851. The next prime is 189066881. The reversal of 189066856 is 658660981.

189066856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189062500 + 4356 = 13750^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (189066851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166900 + ... + 168028.

Almost surely, 2189066856 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 189066856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196128450).

189066856 is an abundant number, since it is smaller than the sum of its proper divisors (203190044).

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

189066856 is a wasteful number, since it uses less digits than its factorization.

189066856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 189066856 is about 13750.1583990876. The cubic root of 189066856 is about 573.9470140118.

The spelling of 189066856 in words is "one hundred eighty-nine million, sixty-six thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 173 242 346 484 692 968 1129 1384 1903 2258 3806 4516 7612 9032 12419 15224 20933 24838 41866 49676 83732 99352 136609 167464 195317 273218 390634 546436 781268 1092872 1562536 2148487 4296974 8593948 17187896 23633357 47266714 94533428 189066856