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189667984 = 241123132
BaseRepresentation
bin10110100111000…
…01101010010000
3111012220010120011
423103201222100
5342023333414
630453124304
74462102612
oct1323415220
9435803504
10189667984
1198076400
1253629694
13303aa59c
141b292db2
15119b7dc4
hexb4e1a90

189667984 has 45 divisors (see below), whose sum is σ = 405220809. Its totient is φ = 85937280.

The previous prime is 189667939. The next prime is 189667993. The reversal of 189667984 is 489766981.

The square root of 189667984 is 13772.

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., 1210000 + 188457984 = 1100^2 + 13728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 605812 + ... + 606124.

Almost surely, 2189667984 is an apocalyptic number.

189667984 is the 13772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189667984

189667984 is an abundant number, since it is smaller than the sum of its proper divisors (215552825).

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

189667984 is an equidigital number, since it uses as much as digits as its factorization.

189667984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 326 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The cubic root of 189667984 is about 574.5546484742.

The spelling of 189667984 in words is "one hundred eighty-nine million, six hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 313 484 626 968 1252 1936 2504 3443 5008 6886 13772 27544 37873 55088 75746 97969 151492 195938 302984 391876 605968 783752 1077659 1567504 2155318 4310636 8621272 11854249 17242544 23708498 47416996 94833992 189667984