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189742208 = 2719611279
BaseRepresentation
bin10110100111100…
…11110010000000
3111020000220101012
423103303302000
5342033222313
630454500052
74462532165
oct1323636200
9436026335
10189742208
1198117147
1253664628
13304052c6
141b2b206c
15119ceda8
hexb4f3c80

189742208 has 64 divisors (see below), whose sum is σ = 404736000. Its totient is φ = 88335360.

The previous prime is 189742199. The next prime is 189742211. The reversal of 189742208 is 802247981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147713 + ... + 148991.

It is an arithmetic number, because the mean of its divisors is an integer number (6324000).

Almost surely, 2189742208 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 189742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368000).

189742208 is an abundant number, since it is smaller than the sum of its proper divisors (214993792).

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

189742208 is a wasteful number, since it uses less digits than its factorization.

189742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 189742208 is about 13774.6944793705. The cubic root of 189742208 is about 574.6295867630.

The spelling of 189742208 in words is "one hundred eighty-nine million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 488 608 976 1159 1216 1279 1952 2318 2432 2558 3904 4636 5116 7808 9272 10232 18544 20464 24301 37088 40928 48602 74176 78019 81856 97204 148352 156038 163712 194408 312076 388816 624152 777632 1248304 1482361 1555264 2496608 2964722 3110528 4993216 5929444 9986432 11858888 23717776 47435552 94871104 189742208