Search a number
-
+
189679608 = 233217353439
BaseRepresentation
bin10110100111001…
…00011111111000
3111012220201111200
423103210133320
5342024221413
630453254200
74462151526
oct1323443770
9435821450
10189679608
1198084108
1253634360
13303b2971
141b297316
15119bb573
hexb4e47f8

189679608 has 96 divisors (see below), whose sum is σ = 546717600. Its totient is φ = 59203584.

The previous prime is 189679583. The next prime is 189679619. The reversal of 189679608 is 806976981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431853 + ... + 432291.

It is an arithmetic number, because the mean of its divisors is an integer number (5694975).

Almost surely, 2189679608 is an apocalyptic number.

189679608 is a gapful number since it is divisible by the number (18) 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 189679608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273358800).

189679608 is an abundant number, since it is smaller than the sum of its proper divisors (357037992).

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

189679608 is a wasteful number, since it uses less digits than its factorization.

189679608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 189679608 is about 13772.4220092183. The cubic root of 189679608 is about 574.5663856278.

The spelling of 189679608 in words is "one hundred eighty-nine million, six hundred seventy-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 353 408 439 612 706 878 1059 1224 1317 1412 1756 2118 2634 2824 3177 3512 3951 4236 5268 6001 6354 7463 7902 8472 10536 12002 12708 14926 15804 18003 22389 24004 25416 29852 31608 36006 44778 48008 54009 59704 67167 72012 89556 108018 134334 144024 154967 179112 216036 268668 309934 432072 464901 537336 619868 929802 1239736 1394703 1859604 2634439 2789406 3719208 5268878 5578812 7903317 10537756 11157624 15806634 21075512 23709951 31613268 47419902 63226536 94839804 189679608