Search a number
-
+
189000042 = 237113131307
BaseRepresentation
bin10110100001111…
…10100101101010
3111011122012022120
423100332211222
5341341000132
630430532110
74453321350
oct1320764552
9434565276
10189000042
119775a590
1253367036
133020555a
141b15b7d0
15118d502c
hexb43e96a

189000042 has 64 divisors (see below), whose sum is σ = 473140224. Its totient is φ = 48896640.

The previous prime is 189000041. The next prime is 189000043. The reversal of 189000042 is 240000981.

It is an interprime number because it is at equal distance from previous prime (189000041) and next prime (189000043).

It is a junction number, because it is equal to n+sod(n) for n = 188999976 and 189000021.

It is not an unprimeable number, because it can be changed into a prime (189000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143953 + ... + 145259.

It is an arithmetic number, because the mean of its divisors is an integer number (7392816).

Almost surely, 2189000042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236570112).

189000042 is an abundant number, since it is smaller than the sum of its proper divisors (284140182).

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

189000042 is a wasteful number, since it uses less digits than its factorization.

189000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 189000042 is about 13747.7286123927. The cubic root of 189000042 is about 573.8793973413.

The spelling of 189000042 in words is "one hundred eighty-nine million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 313 462 626 939 1307 1878 2191 2614 3443 3921 4382 6573 6886 7842 9149 10329 13146 14377 18298 20658 24101 27447 28754 43131 48202 54894 72303 86262 100639 144606 201278 301917 409091 603834 818182 1227273 2454546 2863637 4500001 5727274 8590911 9000002 13500003 17181822 27000006 31500007 63000014 94500021 189000042